Atkin-Lehner |
2- 3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790ca |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-681060269491200 = -1 · 210 · 39 · 52 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21082,-439243] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3959:8] [303:-5957:1] |
Generators of the group modulo torsion |
j |
1421513286860519/934239052800 |
j-invariant |
L |
13.158062211147 |
L(r)(E,1)/r! |
Ω |
0.29073802008728 |
Real period |
R |
0.18857271985524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930u1 |
Quadratic twists by: -3 |