Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bn |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
2787025920 = 210 · 3 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1083,-13562] |
[a1,a2,a3,a4,a6] |
j |
409014195967/8125440 |
j-invariant |
L |
1.6666514305044 |
L(r)(E,1)/r! |
Ω |
0.83332571525536 |
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 |
101430eg1 33810e1 |
Quadratic twists by: -3 -7 |