Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634ca |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-507523968 = -1 · 27 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,85,1019] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-38:1] |
Generators of the group modulo torsion |
j |
1922375/14208 |
j-invariant |
L |
9.0076145178709 |
L(r)(E,1)/r! |
Ω |
1.2036660420058 |
Real period |
R |
0.26726725459439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878q1 32634bp1 |
Quadratic twists by: -3 -7 |