Atkin-Lehner |
2+ 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
25398f |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
499908834 = 2 · 311 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -6 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234,922] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:47:1] [-26:337:8] |
Generators of the group modulo torsion |
j |
1948441249/685746 |
j-invariant |
L |
5.8646232653487 |
L(r)(E,1)/r! |
Ω |
1.5184221451194 |
Real period |
R |
0.96557852574108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466k1 |
Quadratic twists by: -3 |