Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634k |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216384 |
Modular degree for the optimal curve |
Δ |
-680130657029502 = -1 · 2 · 313 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 3 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15885,-1468517] |
[a1,a2,a3,a4,a6] |
j |
-105484561/161838 |
j-invariant |
L |
3.6305157577266 |
L(r)(E,1)/r! |
Ω |
0.20169531987395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878v1 32634z1 |
Quadratic twists by: -3 -7 |