Atkin-Lehner |
2+ 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390a |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
2991060172800 = 214 · 39 · 52 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4065,-54019] |
[a1,a2,a3,a4,a6] |
j |
377462806083/151961600 |
j-invariant |
L |
1.2383203466044 |
L(r)(E,1)/r! |
Ω |
0.61916017330435 |
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 |
33390bb1 |
Quadratic twists by: -3 |