Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800bk |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-91840000000 = -1 · 212 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,14637] |
[a1,a2,a3,a4,a6] |
Generators |
[1596:40725:343] |
Generators of the group modulo torsion |
j |
-4096/1435 |
j-invariant |
L |
10.339879251582 |
L(r)(E,1)/r! |
Ω |
0.87053639888677 |
Real period |
R |
5.9387977663471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7175e1 22960s1 |
Quadratic twists by: -4 5 |