Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900j |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-3267368501897491200 = -1 · 28 · 39 · 52 · 1110 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -3 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-784080,-281027340] |
[a1,a2,a3,a4,a6] |
Generators |
[92487651894975876:2219889945365034921:69710705124416] |
Generators of the group modulo torsion |
j |
-238878720/14641 |
j-invariant |
L |
7.9052862174536 |
L(r)(E,1)/r! |
Ω |
0.07993573228189 |
Real period |
R |
24.723881272445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900k1 108900y1 9900b1 |
Quadratic twists by: -3 5 -11 |