Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700bc |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
13378671281250000 = 24 · 34 · 59 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103533,-11586312] |
[a1,a2,a3,a4,a6] |
j |
490935337222144/53514685125 |
j-invariant |
L |
4.288536745187 |
L(r)(E,1)/r! |
Ω |
0.26803354669557 |
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 |
12540d1 |
Quadratic twists by: 5 |