Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240cb |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1363968 |
Modular degree for the optimal curve |
Δ |
50073318858586320 = 24 · 32 · 5 · 114 · 416 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196641,31723794] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:5412:1] |
Generators of the group modulo torsion |
j |
52556708716308742144/3129582428661645 |
j-invariant |
L |
4.8240973689216 |
L(r)(E,1)/r! |
Ω |
0.35067881441893 |
Real period |
R |
1.146371262235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27060c1 |
Quadratic twists by: -4 |