Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440h |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-464032837875200 = -1 · 29 · 52 · 114 · 195 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272536,-54863336] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:-39710:1] |
Generators of the group modulo torsion |
j |
-4372471397265580232/906314136475 |
j-invariant |
L |
4.3469405048636 |
L(r)(E,1)/r! |
Ω |
0.10447395995032 |
Real period |
R |
0.52009856175294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33440a1 66880cv1 |
Quadratic twists by: -4 8 |