Atkin-Lehner |
2- 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094bd |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
178335801971712 = 210 · 38 · 72 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200640,34569216] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:8448:1] |
Generators of the group modulo torsion |
j |
893256951933281295361/178335801971712 |
j-invariant |
L |
7.1945129641746 |
L(r)(E,1)/r! |
Ω |
0.55384701012093 |
Real period |
R |
0.081187954804114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282o2 119658cn2 |
Quadratic twists by: -3 -7 |