Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bp |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
820562458320 = 24 · 36 · 5 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3137,52481] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:304:1] |
Generators of the group modulo torsion |
j |
4681768588489/1125600080 |
j-invariant |
L |
7.6187975381317 |
L(r)(E,1)/r! |
Ω |
0.83864731274047 |
Real period |
R |
1.1355783030586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3410a2 |
Quadratic twists by: -3 |