Atkin-Lehner |
2+ 3+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130b |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
119858397198750 = 2 · 34 · 54 · 74 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33198,-2281698] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:97:1] |
Generators of the group modulo torsion |
j |
1685340876081289/49920198750 |
j-invariant |
L |
4.1785862384947 |
L(r)(E,1)/r! |
Ω |
0.35432891891163 |
Real period |
R |
2.9482396656055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998680635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130br1 |
Quadratic twists by: -7 |