Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bw |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1381608900000 = -1 · 25 · 34 · 55 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-771,-57471] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-568:1] |
Generators of the group modulo torsion |
j |
-1034489224321/28196100000 |
j-invariant |
L |
6.8199942545337 |
L(r)(E,1)/r! |
Ω |
0.37094725797384 |
Real period |
R |
0.91926737617279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730ck1 |
Quadratic twists by: -7 |