Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475r |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-9.6897077326334E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 3 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,4366717,-3178600657] |
[a1,a2,a3,a4,a6] |
Generators |
[783597304209401435:47006653091812809468:340287680918375] |
Generators of the group modulo torsion |
j |
5009339741732864/5271114033171 |
j-invariant |
L |
4.0023552579281 |
L(r)(E,1)/r! |
Ω |
0.070024100076568 |
Real period |
R |
28.578412671864 |
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 |
2499j1 8925x1 |
Quadratic twists by: 5 -7 |