Atkin-Lehner |
5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
33925g |
Isogeny class |
Conductor |
33925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29664 |
Modular degree for the optimal curve |
Δ |
50039375 = 54 · 23 · 592 |
Discriminant |
Eigenvalues |
-1 -2 5- -3 5 -5 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2338,43317] |
[a1,a2,a3,a4,a6] |
Generators |
[31:14:1] [-13:274:1] |
Generators of the group modulo torsion |
j |
2261459554225/80063 |
j-invariant |
L |
3.5395631410046 |
L(r)(E,1)/r! |
Ω |
1.8747164563684 |
Real period |
R |
0.31467542100196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33925b1 |
Quadratic twists by: 5 |