Atkin-Lehner |
5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
25075k |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12840 |
Modular degree for the optimal curve |
Δ |
-391796875 = -1 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
-2 0 5- 0 -5 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125,-1094] |
[a1,a2,a3,a4,a6] |
j |
-552960/1003 |
j-invariant |
L |
0.67322980481633 |
L(r)(E,1)/r! |
Ω |
0.67322980481656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25075d1 |
Quadratic twists by: 5 |