Atkin-Lehner |
5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325f |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2082984736328125 = -1 · 510 · 78 · 37 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29987,-906858] |
[a1,a2,a3,a4,a6] |
j |
2595575/1813 |
j-invariant |
L |
0.52463030595048 |
L(r)(E,1)/r! |
Ω |
0.26231515308536 |
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 |
45325t1 6475c1 |
Quadratic twists by: 5 -7 |