Atkin-Lehner |
2- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45880b |
Isogeny class |
Conductor |
45880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7104 |
Modular degree for the optimal curve |
Δ |
-458800 = -1 · 24 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -6 7 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9,34] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
4499456/28675 |
j-invariant |
L |
3.8314004049564 |
L(r)(E,1)/r! |
Ω |
2.1485191021206 |
Real period |
R |
0.4458187503618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91760b1 |
Quadratic twists by: -4 |