Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390ba |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-14406529536000 = -1 · 212 · 33 · 53 · 7 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3953,207137] |
[a1,a2,a3,a4,a6] |
j |
-252951575609907/533575168000 |
j-invariant |
L |
5.0004398367842 |
L(r)(E,1)/r! |
Ω |
0.62505497959792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33390i2 |
Quadratic twists by: -3 |