Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72540x |
Isogeny class |
Conductor |
72540 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
948480 |
Modular degree for the optimal curve |
Δ |
-374713096960800000 = -1 · 28 · 319 · 55 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675687,-215798866] |
[a1,a2,a3,a4,a6] |
j |
-182807036554943824/2007850528125 |
j-invariant |
L |
0.8320490817649 |
L(r)(E,1)/r! |
Ω |
0.083204906053222 |
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 |
24180a1 |
Quadratic twists by: -3 |