Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298h |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11760 |
Modular degree for the optimal curve |
Δ |
11478122496 = 214 · 36 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -3 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-645,3797] |
[a1,a2,a3,a4,a6] |
Generators |
[26:51:1] |
Generators of the group modulo torsion |
j |
42396561/16384 |
j-invariant |
L |
2.4342890978034 |
L(r)(E,1)/r! |
Ω |
1.1608089593799 |
Real period |
R |
1.0485313186693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1922e1 17298e1 |
Quadratic twists by: -3 -31 |