Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810b |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5594400 |
Modular degree for the optimal curve |
Δ |
2.8759642913057E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 3 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19573173,-21107451987] |
[a1,a2,a3,a4,a6] |
j |
143854393630949720089/49888353324003840 |
j-invariant |
L |
0.22143466170169 |
L(r)(E,1)/r! |
Ω |
0.073811553899644 |
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 |
101430en1 33810br1 |
Quadratic twists by: -3 -7 |