Atkin-Lehner |
3+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
89661c |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-2.1076716584462E+19 |
Discriminant |
Eigenvalues |
-1 3+ -3 -1 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,674028,58785090] |
[a1,a2,a3,a4,a6] |
Generators |
[468:-22075:1] |
Generators of the group modulo torsion |
j |
19116191615070887/11897257043061 |
j-invariant |
L |
1.4690545187498 |
L(r)(E,1)/r! |
Ω |
0.13333119897558 |
Real period |
R |
1.1018085282436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
741b1 |
Quadratic twists by: -11 |