Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574br |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
146450111445792 = 25 · 38 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26804,-1596715] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:217:1] |
Generators of the group modulo torsion |
j |
3053190217/209952 |
j-invariant |
L |
6.1571728471678 |
L(r)(E,1)/r! |
Ω |
0.37473559797884 |
Real period |
R |
1.6430712428649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722bt1 35574dc1 35574e1 |
Quadratic twists by: -3 -7 -11 |