Atkin-Lehner |
2+ 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
17094h |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-34139823881971038 = -1 · 2 · 3 · 72 · 1112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,21109,8819811] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:2022:1] [99:3399:1] |
Generators of the group modulo torsion |
j |
1040146578175980743/34139823881971038 |
j-invariant |
L |
4.3947856916821 |
L(r)(E,1)/r! |
Ω |
0.27754941223065 |
Real period |
R |
2.63904101277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282bn3 119658bu3 |
Quadratic twists by: -3 -7 |