Atkin-Lehner |
2+ 5- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14110c |
Isogeny class |
Conductor |
14110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16864 |
Modular degree for the optimal curve |
Δ |
-76751175680 = -1 · 217 · 5 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2228,42418] |
[a1,a2,a3,a4,a6] |
j |
-1222331589867961/76751175680 |
j-invariant |
L |
2.1424712670154 |
L(r)(E,1)/r! |
Ω |
1.0712356335077 |
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 |
112880m1 126990bx1 70550bd1 |
Quadratic twists by: -4 -3 5 |