Atkin-Lehner |
2- 3+ 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330x |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-25514088750000 = -1 · 24 · 39 · 57 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3458,256177] |
[a1,a2,a3,a4,a6] |
j |
-232268138523/1296250000 |
j-invariant |
L |
4.6382267755603 |
L(r)(E,1)/r! |
Ω |
0.57977836595069 |
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 |
93330d1 |
Quadratic twists by: -3 |