Atkin-Lehner |
2- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640j |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-54419721440000 = -1 · 28 · 54 · 78 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8804,154820] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:98:1] [28:650:1] |
Generators of the group modulo torsion |
j |
51131696/36875 |
j-invariant |
L |
9.7480761847452 |
L(r)(E,1)/r! |
Ω |
0.4001177695112 |
Real period |
R |
1.0151257250507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640z1 |
Quadratic twists by: -7 |