Atkin-Lehner |
2- 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
100620c |
Isogeny class |
Conductor |
100620 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
323999770770000 = 24 · 36 · 54 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18828,488673] |
[a1,a2,a3,a4,a6] |
Generators |
[199:-2150:1] [-102:1161:1] |
Generators of the group modulo torsion |
j |
63283249299456/27777758125 |
j-invariant |
L |
10.909936625188 |
L(r)(E,1)/r! |
Ω |
0.48826771305215 |
Real period |
R |
0.93100706958896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11180a1 |
Quadratic twists by: -3 |