Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15480i |
Isogeny class |
Conductor |
15480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25231360 |
Modular degree for the optimal curve |
Δ |
-4.9391381553199E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -5 -5 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3595947108,-67412970270124] |
[a1,a2,a3,a4,a6] |
j |
27554726454844416496885738496/26465717996184551883676875 |
j-invariant |
L |
0.4245673006813 |
L(r)(E,1)/r! |
Ω |
0.013267728146291 |
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 |
30960k1 123840bp1 5160j1 77400bg1 |
Quadratic twists by: -4 8 -3 5 |