Atkin-Lehner |
5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45325r |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9288 |
Modular degree for the optimal curve |
Δ |
1133125 = 54 · 72 · 37 |
Discriminant |
Eigenvalues |
-2 1 5- 7- 3 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58,144] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
716800/37 |
j-invariant |
L |
3.7905828251248 |
L(r)(E,1)/r! |
Ω |
2.7118729023201 |
Real period |
R |
0.46592434597257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325l1 45325o1 |
Quadratic twists by: 5 -7 |