Atkin-Lehner |
2+ 3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378w |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2801664 |
Modular degree for the optimal curve |
Δ |
12667746967642368 = 28 · 310 · 72 · 173 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3653361,-2686819811] |
[a1,a2,a3,a4,a6] |
Generators |
[31298:5510711:1] |
Generators of the group modulo torsion |
j |
7397313347568219875857/17376881985792 |
j-invariant |
L |
6.6035342475295 |
L(r)(E,1)/r! |
Ω |
0.1092009617377 |
Real period |
R |
5.039282695189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42126q1 |
Quadratic twists by: -3 |