Atkin-Lehner |
2- 5+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950s |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-283384481874050 = -1 · 2 · 52 · 376 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7232,-771549] |
[a1,a2,a3,a4,a6] |
Generators |
[110510:1124321:1000] |
Generators of the group modulo torsion |
j |
1673228304787415/11335379274962 |
j-invariant |
L |
8.6260258039188 |
L(r)(E,1)/r! |
Ω |
0.27348991477087 |
Real period |
R |
7.8851406744409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86950l1 |
Quadratic twists by: 5 |