Atkin-Lehner |
5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35525i |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
21565440 |
Modular degree for the optimal curve |
Δ |
-1.1205221758864E+28 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 6 -4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,549067867,1189709424019] |
[a1,a2,a3,a4,a6] |
Generators |
[40281901:21227264929:12167] |
Generators of the group modulo torsion |
j |
9958490884690134695936/6095540060410757075 |
j-invariant |
L |
5.3215061677821 |
L(r)(E,1)/r! |
Ω |
0.024882267928695 |
Real period |
R |
2.9703806782267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7105c1 5075d1 |
Quadratic twists by: 5 -7 |