Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634y |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-4913254270181376 = -1 · 213 · 39 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 4 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16749,3263413] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:713:1] |
Generators of the group modulo torsion |
j |
6058428767/57286656 |
j-invariant |
L |
3.050830026989 |
L(r)(E,1)/r! |
Ω |
0.31729211504373 |
Real period |
R |
2.4038022711096 |
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 |
10878be1 4662c1 |
Quadratic twists by: -3 -7 |