Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094q |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5100302592 = 28 · 33 · 72 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-501,2560] |
[a1,a2,a3,a4,a6] |
Generators |
[35:150:1] |
Generators of the group modulo torsion |
j |
13867245015625/5100302592 |
j-invariant |
L |
4.6817414282264 |
L(r)(E,1)/r! |
Ω |
1.2470094265127 |
Real period |
R |
0.62572922180697 |
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 |
51282bm1 119658y1 |
Quadratic twists by: -3 -7 |