Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790l |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-24146113416062400 = -1 · 26 · 39 · 52 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119814,17656820] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:5004:1] |
Generators of the group modulo torsion |
j |
-239483061/30400 |
j-invariant |
L |
4.5344764424769 |
L(r)(E,1)/r! |
Ω |
0.36738609897987 |
Real period |
R |
3.0856341977244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790cr1 83790h1 |
Quadratic twists by: -3 -7 |