Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730cg |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-281122285500000 = -1 · 25 · 34 · 56 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12739,587985] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:751:1] |
Generators of the group modulo torsion |
j |
1943297778239/2389500000 |
j-invariant |
L |
13.031329717108 |
L(r)(E,1)/r! |
Ω |
0.36774110453357 |
Real period |
R |
0.88590380233473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1770f1 |
Quadratic twists by: -7 |