Atkin-Lehner |
2- 7+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
112336h |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
66488532992 = 215 · 7 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1888,-28416] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:18:1] [96:816:1] |
Generators of the group modulo torsion |
j |
181802454625/16232552 |
j-invariant |
L |
15.551256635603 |
L(r)(E,1)/r! |
Ω |
0.72836728347822 |
Real period |
R |
1.7792370444355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042f1 |
Quadratic twists by: -4 |