Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800cb |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
19372019535000000 = 26 · 37 · 57 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353408,-80705562] |
[a1,a2,a3,a4,a6] |
j |
4881508724731456/19372019535 |
j-invariant |
L |
2.7419659868314 |
L(r)(E,1)/r! |
Ω |
0.19585471332504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800y1 26400f2 10560a1 |
Quadratic twists by: -4 8 5 |