Atkin-Lehner |
2+ 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390c |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
572507611200 = 26 · 39 · 52 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-255570,49793300] |
[a1,a2,a3,a4,a6] |
j |
93791394794839923/29086400 |
j-invariant |
L |
1.4797849461184 |
L(r)(E,1)/r! |
Ω |
0.73989247305569 |
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 |
33390bd1 |
Quadratic twists by: -3 |