Atkin-Lehner |
2+ 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350bs |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
814080 |
Modular degree for the optimal curve |
Δ |
-11831832000000000 = -1 · 212 · 34 · 59 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23549,-5043202] |
[a1,a2,a3,a4,a6] |
Generators |
[48628:1335779:64] |
Generators of the group modulo torsion |
j |
739499002507/6057897984 |
j-invariant |
L |
6.8803959353841 |
L(r)(E,1)/r! |
Ω |
0.19935757234292 |
Real period |
R |
4.314104957605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350cl1 |
Quadratic twists by: 5 |