Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150co |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
8242256250000 = 24 · 39 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6980,178647] |
[a1,a2,a3,a4,a6] |
j |
3301293169/723600 |
j-invariant |
L |
5.5610135738177 |
L(r)(E,1)/r! |
Ω |
0.69512669672713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050d1 6030j1 |
Quadratic twists by: -3 5 |