Atkin-Lehner |
2- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
100940b |
Isogeny class |
Conductor |
100940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
2714397728000 = 28 · 53 · 77 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4181,-68825] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:49:1] |
Generators of the group modulo torsion |
j |
268435456/90125 |
j-invariant |
L |
4.3551901486325 |
L(r)(E,1)/r! |
Ω |
0.60977589160109 |
Real period |
R |
1.7855700090121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999347595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14420c1 |
Quadratic twists by: -7 |