Atkin-Lehner |
5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25075g |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-15671875 = -1 · 56 · 17 · 59 |
Discriminant |
Eigenvalues |
0 -2 5+ -2 -5 -2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,17,194] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:39:8] [-2:12:1] |
Generators of the group modulo torsion |
j |
32768/1003 |
j-invariant |
L |
4.2365569855855 |
L(r)(E,1)/r! |
Ω |
1.6633224084351 |
Real period |
R |
1.273522488515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003a1 |
Quadratic twists by: 5 |