Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024be |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-163812585216 = -1 · 28 · 3 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1356,-2724] |
[a1,a2,a3,a4,a6] |
Generators |
[1137:9766:27] |
Generators of the group modulo torsion |
j |
9148592/5439 |
j-invariant |
L |
7.6297782555847 |
L(r)(E,1)/r! |
Ω |
0.59676776614015 |
Real period |
R |
6.3925857674652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512v1 12432b1 |
Quadratic twists by: -4 -7 |