Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7920l |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
581160586050000 = 24 · 38 · 55 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80382,8694731] |
[a1,a2,a3,a4,a6] |
Generators |
[187:450:1] |
Generators of the group modulo torsion |
j |
4924392082991104/49825153125 |
j-invariant |
L |
4.7527257704037 |
L(r)(E,1)/r! |
Ω |
0.51898161706907 |
Real period |
R |
1.8315584267684 |
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 |
3960t1 31680cu1 2640c1 39600k1 |
Quadratic twists by: -4 8 -3 5 |