Atkin-Lehner |
3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3927a |
Isogeny class |
Conductor |
3927 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
3066040593 = 39 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-221018,39901430] |
[a1,a2,a3,a4,a6] |
j |
1194006714002239614625/3066040593 |
j-invariant |
L |
0.935250522852 |
L(r)(E,1)/r! |
Ω |
0.935250522852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832bu1 11781d1 98175bl1 27489v1 |
Quadratic twists by: -4 -3 5 -7 |