Atkin-Lehner |
2- 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094t |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-145351239264 = -1 · 25 · 313 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1826,-35953] |
[a1,a2,a3,a4,a6] |
j |
-673350049820449/145351239264 |
j-invariant |
L |
1.8050091139088 |
L(r)(E,1)/r! |
Ω |
0.36100182278175 |
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 |
51282r1 119658cw1 |
Quadratic twists by: -3 -7 |