Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026o |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2999106 = -1 · 2 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11- -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
-297/34 |
j-invariant |
L |
2.6698210588739 |
L(r)(E,1)/r! |
Ω |
1.1234174616005 |
Real period |
R |
1.1882586616861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4114d1 37026bp1 |
Quadratic twists by: -3 -11 |