Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25270r |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-4755397651480 = -1 · 23 · 5 · 7 · 198 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4144,-21224] |
[a1,a2,a3,a4,a6] |
Generators |
[404306:5142327:2744] |
Generators of the group modulo torsion |
j |
463391/280 |
j-invariant |
L |
4.7019555688705 |
L(r)(E,1)/r! |
Ω |
0.44817532796752 |
Real period |
R |
10.491330681218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126350f1 25270g1 |
Quadratic twists by: 5 -19 |