Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740m |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5253120 |
Modular degree for the optimal curve |
Δ |
-2.69511992062E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16516472,25847997461] |
[a1,a2,a3,a4,a6] |
Generators |
[52994714443:2368504816370:12008989] |
Generators of the group modulo torsion |
j |
-96510191468544/52200625 |
j-invariant |
L |
9.2183446279347 |
L(r)(E,1)/r! |
Ω |
0.17199137206327 |
Real period |
R |
13.399428826626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122740n1 |
Quadratic twists by: -19 |