Atkin-Lehner |
2+ 3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094b |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-1295314944 = -1 · 212 · 3 · 7 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-784,-8960] |
[a1,a2,a3,a4,a6] |
j |
-53399495632393/1295314944 |
j-invariant |
L |
1.8015894706936 |
L(r)(E,1)/r! |
Ω |
0.4503973676734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282be1 119658br1 |
Quadratic twists by: -3 -7 |