Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800ev |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-9702990000000000 = -1 · 210 · 36 · 510 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21867,4565637] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:1100:1] |
Generators of the group modulo torsion |
j |
72268906496/606436875 |
j-invariant |
L |
5.9356398101603 |
L(r)(E,1)/r! |
Ω |
0.29878526370248 |
Real period |
R |
1.65549212407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ch1 13200cc1 10560cn1 |
Quadratic twists by: -4 8 5 |