Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634ch |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-2192136677679088224 = -1 · 25 · 311 · 710 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11550461,15112450469] |
[a1,a2,a3,a4,a6] |
Generators |
[2001:1996:1] |
Generators of the group modulo torsion |
j |
-827587081151257/10645344 |
j-invariant |
L |
10.312946006013 |
L(r)(E,1)/r! |
Ω |
0.23680913008407 |
Real period |
R |
1.088740328799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878t1 32634bs1 |
Quadratic twists by: -3 -7 |