Atkin-Lehner |
5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25075c |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-391796875 = -1 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
0 0 5+ 0 -1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6200,187906] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:521:1] [40:62:1] |
Generators of the group modulo torsion |
j |
-1686858891264/25075 |
j-invariant |
L |
6.4375741475214 |
L(r)(E,1)/r! |
Ω |
1.5434023266102 |
Real period |
R |
2.0855139442675 |
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 |
5015b1 |
Quadratic twists by: 5 |