Atkin-Lehner |
2- 3+ 7+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39858l |
Isogeny class |
Conductor |
39858 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2909952864 = 25 · 34 · 7 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-882,9375] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-115:1] |
Generators of the group modulo torsion |
j |
75885751966753/2909952864 |
j-invariant |
L |
4.2668371394127 |
L(r)(E,1)/r! |
Ω |
1.4170819286767 |
Real period |
R |
0.10036674787036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119574j1 |
Quadratic twists by: -3 |