Atkin-Lehner |
3+ 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25935i |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
43251140102625 = 35 · 53 · 78 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-157105,-24031450] |
[a1,a2,a3,a4,a6] |
j |
428838636060792331921/43251140102625 |
j-invariant |
L |
1.4388181816583 |
L(r)(E,1)/r! |
Ω |
0.2398030302764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805m1 129675bf1 |
Quadratic twists by: -3 5 |