Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700h |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
2758800 = 24 · 3 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38,57] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11:1] |
Generators of the group modulo torsion |
j |
15573760/6897 |
j-invariant |
L |
5.3090956651784 |
L(r)(E,1)/r! |
Ω |
2.2947254060807 |
Real period |
R |
0.38560137746382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700bo1 |
Quadratic twists by: 5 |