Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
114224i |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-51802824617984 = -1 · 212 · 118 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 1 11- 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,348592] |
[a1,a2,a3,a4,a6] |
Generators |
[92:968:1] |
Generators of the group modulo torsion |
j |
-117649/7139 |
j-invariant |
L |
4.9975388597585 |
L(r)(E,1)/r! |
Ω |
0.52252680410742 |
Real period |
R |
1.1955221360457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7139e1 10384c1 |
Quadratic twists by: -4 -11 |