Atkin-Lehner |
2+ 5+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150d |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-1466393750000 = -1 · 24 · 58 · 23 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3067,88341] |
[a1,a2,a3,a4,a6] |
Generators |
[34:133:1] |
Generators of the group modulo torsion |
j |
-204232410369/93849200 |
j-invariant |
L |
2.7049514672264 |
L(r)(E,1)/r! |
Ω |
0.79477632375547 |
Real period |
R |
1.7017061489754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998256416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23230i1 |
Quadratic twists by: 5 |