Atkin-Lehner |
2+ 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30504b |
Isogeny class |
Conductor |
30504 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-2557368354111399936 = -1 · 211 · 33 · 317 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -1 1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261880,92544176] |
[a1,a2,a3,a4,a6] |
Generators |
[7210:194217:8] |
Generators of the group modulo torsion |
j |
-969845187126259442/1248715016655957 |
j-invariant |
L |
8.0761134316007 |
L(r)(E,1)/r! |
Ω |
0.23190638931498 |
Real period |
R |
5.8041475667952 |
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 |
61008a1 91512h1 |
Quadratic twists by: -4 -3 |