Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62700u |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61920 |
Modular degree for the optimal curve |
Δ |
522952108800 = 28 · 3 · 52 · 11 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3308,63348] |
[a1,a2,a3,a4,a6] |
Generators |
[9351:111016:729] |
Generators of the group modulo torsion |
j |
625707730000/81711267 |
j-invariant |
L |
7.401217964985 |
L(r)(E,1)/r! |
Ω |
0.89299455778085 |
Real period |
R |
8.2880885449708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700k1 |
Quadratic twists by: 5 |