Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cr |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-8979688396800 = -1 · 211 · 32 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10688,452652] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:726:1] |
Generators of the group modulo torsion |
j |
-1488770/99 |
j-invariant |
L |
5.0285699448976 |
L(r)(E,1)/r! |
Ω |
0.71956139992923 |
Real period |
R |
1.747095503609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600bz1 6600b1 |
Quadratic twists by: 5 -11 |