Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cf |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
117547895390625 = 32 · 57 · 78 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1632338,-802854333] |
[a1,a2,a3,a4,a6] |
Generators |
[2398:94057:1] [5191:358804:1] |
Generators of the group modulo torsion |
j |
261665059972681/63945 |
j-invariant |
L |
8.9609965251351 |
L(r)(E,1)/r! |
Ω |
0.13356634350198 |
Real period |
R |
33.545114322772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21315b1 15225e1 |
Quadratic twists by: 5 -7 |