Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240bg |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-3102720000000 = -1 · 217 · 3 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4056,129300] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:66:1] |
Generators of the group modulo torsion |
j |
-1802041022809/757500000 |
j-invariant |
L |
6.0684530059546 |
L(r)(E,1)/r! |
Ω |
0.74881023601911 |
Real period |
R |
4.052063335977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3030b1 96960cu1 72720ci1 121200br1 |
Quadratic twists by: -4 8 -3 5 |