Atkin-Lehner |
3- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92463i |
Isogeny class |
Conductor |
92463 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
126489600 |
Modular degree for the optimal curve |
Δ |
-1.0716144753436E+20 |
Discriminant |
Eigenvalues |
2 3- -3 7- 3 7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9278236452,343987263896105] |
[a1,a2,a3,a4,a6] |
Generators |
[827324706:59725089995:17576] |
Generators of the group modulo torsion |
j |
-750812994585932819911633948672/910857274897059 |
j-invariant |
L |
15.539312954519 |
L(r)(E,1)/r! |
Ω |
0.08408601330254 |
Real period |
R |
9.2401294385479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010799 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209e1 |
Quadratic twists by: -7 |