Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bc |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-101950256645596800 = -1 · 27 · 37 · 52 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-91602,18727636] |
[a1,a2,a3,a4,a6] |
j |
-4664162897859145/5593978416768 |
j-invariant |
L |
1.2161843779292 |
L(r)(E,1)/r! |
Ω |
0.30404609451068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bo1 59850gk1 |
Quadratic twists by: -3 5 |