Atkin-Lehner |
2- 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30940h |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
144480 |
Modular degree for the optimal curve |
Δ |
-1216085825085040 = -1 · 24 · 5 · 77 · 13 · 175 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 1 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4590,-1680535] |
[a1,a2,a3,a4,a6] |
j |
-668553859330816/76005364067815 |
j-invariant |
L |
3.2304775056196 |
L(r)(E,1)/r! |
Ω |
0.21536516704132 |
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 |
123760bq1 |
Quadratic twists by: -4 |