Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484c |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8534927311429199616 = 28 · 33 · 1312 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1413572,-630955560] |
[a1,a2,a3,a4,a6] |
Generators |
[22787710:-834419455:10648] |
Generators of the group modulo torsion |
j |
252800391669712/6907163679 |
j-invariant |
L |
7.8373980418204 |
L(r)(E,1)/r! |
Ω |
0.13868984177434 |
Real period |
R |
14.127563209873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000086167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268c2 |
Quadratic twists by: 13 |