Atkin-Lehner |
5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325n |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
248400 |
Modular degree for the optimal curve |
Δ |
65037047170703125 = 58 · 74 · 375 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101700,-2341625] |
[a1,a2,a3,a4,a6] |
j |
124034085385/69343957 |
j-invariant |
L |
1.1485564565986 |
L(r)(E,1)/r! |
Ω |
0.28713911421386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325a1 45325q1 |
Quadratic twists by: 5 -7 |