Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
90900r |
Isogeny class |
Conductor |
90900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-180707654700000000 = -1 · 28 · 311 · 58 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408000,102372500] |
[a1,a2,a3,a4,a6] |
Generators |
[-691:7373:1] [325:2025:1] |
Generators of the group modulo torsion |
j |
-103033077760/2478843 |
j-invariant |
L |
10.595053868989 |
L(r)(E,1)/r! |
Ω |
0.31981182968807 |
Real period |
R |
1.380376011552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300g1 90900f1 |
Quadratic twists by: -3 5 |