Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33516h |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-81130941077969664 = -1 · 28 · 310 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62003424,187919403140] |
[a1,a2,a3,a4,a6] |
j |
-500060830302208/1539 |
j-invariant |
L |
1.3618376837343 |
L(r)(E,1)/r! |
Ω |
0.22697294728934 |
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 |
11172f1 33516c1 |
Quadratic twists by: -3 -7 |