Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962y |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15510528 |
Modular degree for the optimal curve |
Δ |
-2.2938551665786E+24 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-394025552,3011190286963] |
[a1,a2,a3,a4,a6] |
Generators |
[43867300611469861123586119142266400824235607475490259028801957150937695385004016140068451765550896583750413004:-204546610092986499838019508524303816356546541516977591037506302262496314315985829116877743270528412905093842761:3894549973888158926842345139461183877423617278001803331562368212912589598855792288621393838271922468487104] |
Generators of the group modulo torsion |
j |
-31561336767775878870433/10701003643411522 |
j-invariant |
L |
13.679234334156 |
L(r)(E,1)/r! |
Ω |
0.080341329346972 |
Real period |
R |
170.26397802156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962n1 |
Quadratic twists by: -11 |