Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390ca |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
3522804203520 = 214 · 37 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20372,-1110409] |
[a1,a2,a3,a4,a6] |
j |
1282558550483449/4832378880 |
j-invariant |
L |
5.5958910860799 |
L(r)(E,1)/r! |
Ω |
0.3997065061487 |
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 |
11130n1 |
Quadratic twists by: -3 |