Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996h |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1189634641289595648 = 28 · 33 · 72 · 378 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9676548,-11588981148] |
[a1,a2,a3,a4,a6] |
Generators |
[-1792:138:1] |
Generators of the group modulo torsion |
j |
152557939042000/1811187 |
j-invariant |
L |
6.9202010350885 |
L(r)(E,1)/r! |
Ω |
0.085599208013408 |
Real period |
R |
4.4913454476726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108e2 |
Quadratic twists by: 37 |