Atkin-Lehner |
2- 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12614f |
Isogeny class |
Conductor |
12614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
466617088 = 28 · 7 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3 4 7+ -1 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228,-761] |
[a1,a2,a3,a4,a6] |
j |
1305392995089/466617088 |
j-invariant |
L |
10.123550324421 |
L(r)(E,1)/r! |
Ω |
1.2654437905527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912v1 113526l1 88298x1 |
Quadratic twists by: -4 -3 -7 |