Atkin-Lehner |
2+ 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550m |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
-430319705200000000 = -1 · 210 · 58 · 75 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,151375,-21896875] |
[a1,a2,a3,a4,a6] |
Generators |
[63819265:2328136930:50653] |
Generators of the group modulo torsion |
j |
24550575200187119/27540461132800 |
j-invariant |
L |
7.5269211688609 |
L(r)(E,1)/r! |
Ω |
0.16065963649517 |
Real period |
R |
11.712526764433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710m1 |
Quadratic twists by: 5 |