Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094y |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-346464694979568 = -1 · 24 · 312 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38682,3071844] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-534:1] [15:1572:1] |
Generators of the group modulo torsion |
j |
-4956477625/268272 |
j-invariant |
L |
6.9497193505393 |
L(r)(E,1)/r! |
Ω |
0.53271303847944 |
Real period |
R |
3.2614742124475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16698bl1 414a1 |
Quadratic twists by: -3 -11 |