Atkin-Lehner |
2+ 5+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150b |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109568 |
Modular degree for the optimal curve |
Δ |
-1669656250 = -1 · 2 · 56 · 232 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 -6 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,149,1848] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:16:1] [-4:36:1] |
Generators of the group modulo torsion |
j |
23639903/106858 |
j-invariant |
L |
3.8468786035852 |
L(r)(E,1)/r! |
Ω |
1.0720681962439 |
Real period |
R |
0.89706947206999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4646b1 |
Quadratic twists by: 5 |