Atkin-Lehner |
2+ 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094i |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
597168 |
Modular degree for the optimal curve |
Δ |
-2.383419646465E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,617216,-142352384] |
[a1,a2,a3,a4,a6] |
j |
26003639690004852175607/23834196464649854976 |
j-invariant |
L |
1.0515392730449 |
L(r)(E,1)/r! |
Ω |
0.11683769700498 |
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 |
51282bo1 119658by1 |
Quadratic twists by: -3 -7 |