Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
90900d |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-17043750000 = -1 · 24 · 33 · 58 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 2 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,5625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-75:1] [-9:39:1] |
Generators of the group modulo torsion |
j |
34560/101 |
j-invariant |
L |
11.08073992715 |
L(r)(E,1)/r! |
Ω |
0.86778297954232 |
Real period |
R |
0.70939010923352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90900c1 90900b1 |
Quadratic twists by: -3 5 |