Atkin-Lehner |
3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25575f |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103200 |
Modular degree for the optimal curve |
Δ |
-181371106640625 = -1 · 3 · 58 · 115 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 11+ 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99138,-12073344] |
[a1,a2,a3,a4,a6] |
Generators |
[2633096:16337328:6859] |
Generators of the group modulo torsion |
j |
-275857255412545/464310033 |
j-invariant |
L |
2.8276723688964 |
L(r)(E,1)/r! |
Ω |
0.13451344190868 |
Real period |
R |
10.510742750959 |
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 |
76725be1 25575j1 |
Quadratic twists by: -3 5 |