Atkin-Lehner |
3+ 5+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925k |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
66614325 = 3 · 52 · 233 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 -6 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-138,-442] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:11:1] [38:218:1] |
Generators of the group modulo torsion |
j |
11710197760/2664573 |
j-invariant |
L |
3.7511557320037 |
L(r)(E,1)/r! |
Ω |
1.4148251989852 |
Real period |
R |
0.88377366167993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999978063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125925bd1 |
Quadratic twists by: 5 |