Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850eb |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-20255484375000000 = -1 · 26 · 33 · 512 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,50020,5311647] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:1455:1] |
Generators of the group modulo torsion |
j |
32807952226197/48013000000 |
j-invariant |
L |
8.7194467857862 |
L(r)(E,1)/r! |
Ω |
0.26060373992945 |
Real period |
R |
0.92940667399079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850n3 11970l1 |
Quadratic twists by: -3 5 |