Atkin-Lehner |
2+ 3- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094n |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-13479371136 = -1 · 27 · 33 · 7 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3770,88940] |
[a1,a2,a3,a4,a6] |
j |
-5923551325916953/13479371136 |
j-invariant |
L |
1.2599823115931 |
L(r)(E,1)/r! |
Ω |
1.2599823115931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51282bs1 119658p1 |
Quadratic twists by: -3 -7 |