Atkin-Lehner |
2- 3- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430bo |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
35936784000000 = 210 · 37 · 56 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12578,463137] |
[a1,a2,a3,a4,a6] |
Generators |
[17:495:1] |
Generators of the group modulo torsion |
j |
301855146292441/49296000000 |
j-invariant |
L |
11.70412787574 |
L(r)(E,1)/r! |
Ω |
0.6226634579725 |
Real period |
R |
1.8796876073441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30810l1 |
Quadratic twists by: -3 |