Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574dg |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
1092 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-8.5390182776901E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2660111,-4120165015] |
[a1,a2,a3,a4,a6] |
Generators |
[4568:319205:1] |
Generators of the group modulo torsion |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
9.7604433543184 |
L(r)(E,1)/r! |
Ω |
0.066143373198098 |
Real period |
R |
0.13513273526408 |
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 |
106722di1 5082w1 35574bj1 |
Quadratic twists by: -3 -7 -11 |