Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650v |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
533244092500 = 22 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26976,1702698] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-39:1] |
Generators of the group modulo torsion |
j |
602516425/148 |
j-invariant |
L |
5.8641618822923 |
L(r)(E,1)/r! |
Ω |
0.90235269747418 |
Real period |
R |
3.2493735028038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856416 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90650bs1 90650bl1 |
Quadratic twists by: 5 -7 |