Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810w |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
13466424545280 = 212 · 35 · 5 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29572,1937104] |
[a1,a2,a3,a4,a6] |
j |
24310870577209/114462720 |
j-invariant |
L |
1.421463598804 |
L(r)(E,1)/r! |
Ω |
0.71073179940352 |
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 |
101430dx1 690e1 |
Quadratic twists by: -3 -7 |