Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247o |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
-39239426889785619 = -1 · 310 · 7 · 377 |
Discriminant |
Eigenvalues |
0 3- 3 7- 1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2086356,1159966363] |
[a1,a2,a3,a4,a6] |
Generators |
[1094423:818681:1331] |
Generators of the group modulo torsion |
j |
-536971313152/20979 |
j-invariant |
L |
7.1231813030386 |
L(r)(E,1)/r! |
Ω |
0.34103481458681 |
Real period |
R |
5.2217405615071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28749c1 2331f1 |
Quadratic twists by: -3 37 |