Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122100b |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
268620000000 = 28 · 3 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73908,7758312] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:3850:1] [58:1914:1] |
Generators of the group modulo torsion |
j |
11162049582544/67155 |
j-invariant |
L |
8.4125520437883 |
L(r)(E,1)/r! |
Ω |
0.87230640010839 |
Real period |
R |
3.2146777935689 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420k2 |
Quadratic twists by: 5 |