Atkin-Lehner |
2- 3+ 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bo |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
34608867840 = 29 · 33 · 5 · 193 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1178,13017] |
[a1,a2,a3,a4,a6] |
Generators |
[65:423:1] |
Generators of the group modulo torsion |
j |
6690370123107/1281809920 |
j-invariant |
L |
12.528216682024 |
L(r)(E,1)/r! |
Ω |
1.1035231019983 |
Real period |
R |
0.21023938000232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830l1 |
Quadratic twists by: -3 |