Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700bn |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
15561356250000 = 24 · 3 · 58 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10458,-368787] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:57:1] |
Generators of the group modulo torsion |
j |
20240961280/2489817 |
j-invariant |
L |
6.6055335390586 |
L(r)(E,1)/r! |
Ω |
0.47590782760153 |
Real period |
R |
2.3133098314199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700f1 |
Quadratic twists by: 5 |