Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247n |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1491840 |
Modular degree for the optimal curve |
Δ |
4355576384766203709 = 311 · 7 · 378 |
Discriminant |
Eigenvalues |
0 3- -2 7- 4 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-607836,152275581] |
[a1,a2,a3,a4,a6] |
Generators |
[1973:81445:1] |
Generators of the group modulo torsion |
j |
9699328/1701 |
j-invariant |
L |
4.8565671428131 |
L(r)(E,1)/r! |
Ω |
0.23409951966893 |
Real period |
R |
5.1864343307375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28749i1 86247m1 |
Quadratic twists by: -3 37 |