Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920ep |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-1540761598128291840 = -1 · 226 · 311 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37293,59656466] |
[a1,a2,a3,a4,a6] |
Generators |
[55:7866:1] |
Generators of the group modulo torsion |
j |
1920959458991/515997941760 |
j-invariant |
L |
5.1108083351615 |
L(r)(E,1)/r! |
Ω |
0.20744713226368 |
Real period |
R |
3.0795848142157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490x1 38640bh1 |
Quadratic twists by: -4 -3 |