Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904i |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-2.9742904732874E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7402213,-8181174851] |
[a1,a2,a3,a4,a6] |
j |
-2737717077365028736000/181536283769982867 |
j-invariant |
L |
0.45589996401885 |
L(r)(E,1)/r! |
Ω |
0.045589996403554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35904da1 4488j1 107712bw1 |
Quadratic twists by: -4 8 -3 |