Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5814t |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
1519947456970752 = 222 · 310 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87062,-9686235] |
[a1,a2,a3,a4,a6] |
Generators |
[-183:395:1] |
Generators of the group modulo torsion |
j |
100109991859083289/2084975935488 |
j-invariant |
L |
4.8497538211857 |
L(r)(E,1)/r! |
Ω |
0.27828691317518 |
Real period |
R |
0.79214416874025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46512bh1 1938d1 98838bp1 110466x1 |
Quadratic twists by: -4 -3 17 -19 |