Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576bg |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-23079124205568 = -1 · 224 · 37 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2589,225506] |
[a1,a2,a3,a4,a6] |
Generators |
[34:594:1] |
Generators of the group modulo torsion |
j |
642735647/7729152 |
j-invariant |
L |
3.5756033512384 |
L(r)(E,1)/r! |
Ω |
0.49916281529844 |
Real period |
R |
3.5816002776335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11322e1 30192t1 |
Quadratic twists by: -4 -3 |