Atkin-Lehner |
3+ 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725a |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
5099203125 = 35 · 56 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 -4 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-433,-357] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:25:1] |
Generators of the group modulo torsion |
j |
575930368/326349 |
j-invariant |
L |
3.7551105825104 |
L(r)(E,1)/r! |
Ω |
1.1290200422306 |
Real period |
R |
3.3259910816309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999762165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4029b1 |
Quadratic twists by: 5 |