Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904dd |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
18 |
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] |
Generators |
[54:297:1] |
Generators of the group modulo torsion |
j |
-3962770432/16495083 |
j-invariant |
L |
7.8996482150406 |
L(r)(E,1)/r! |
Ω |
0.40417841305051 |
Real period |
R |
1.0858307398649 |
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 |
35904j1 8976c1 107712do1 |
Quadratic twists by: -4 8 -3 |