Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
9240000 = 26 · 3 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-316,-2266] |
[a1,a2,a3,a4,a6] |
Generators |
[25:78:1] |
Generators of the group modulo torsion |
j |
54698902336/144375 |
j-invariant |
L |
8.0891917217298 |
L(r)(E,1)/r! |
Ω |
1.132223613838 |
Real period |
R |
3.5722588815356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000004427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ee1 36960n4 |
Quadratic twists by: -4 8 |