Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247d |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2877120 |
Modular degree for the optimal curve |
Δ |
2.3713693650394E+19 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- -2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1367631,-569276404] |
[a1,a2,a3,a4,a6] |
j |
4091904/343 |
j-invariant |
L |
0.84211017906199 |
L(r)(E,1)/r! |
Ω |
0.1403517071559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86247a1 86247b1 |
Quadratic twists by: -3 37 |