Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904j |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-270255439872 = -1 · 214 · 36 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 11+ -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-837,26973] |
[a1,a2,a3,a4,a6] |
j |
-3962770432/16495083 |
j-invariant |
L |
1.7070242814298 |
L(r)(E,1)/r! |
Ω |
0.8535121407181 |
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 |
35904dd1 4488k1 107712ca1 |
Quadratic twists by: -4 8 -3 |