Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026h |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-6909940224 = -1 · 29 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 11- -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2250,-40716] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2166:1] |
Generators of the group modulo torsion |
j |
-14284562281/78336 |
j-invariant |
L |
2.924460840032 |
L(r)(E,1)/r! |
Ω |
0.34647545699803 |
Real period |
R |
4.2203001409822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342be1 37026bg1 |
Quadratic twists by: -3 -11 |