Atkin-Lehner |
2+ 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298g |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-155960865661482144 = -1 · 25 · 311 · 317 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,129555,6202309] |
[a1,a2,a3,a4,a6] |
Generators |
[39:3344:1] |
Generators of the group modulo torsion |
j |
371694959/241056 |
j-invariant |
L |
2.7672642940008 |
L(r)(E,1)/r! |
Ω |
0.20250605475043 |
Real period |
R |
1.7081367625101 |
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 |
5766g1 558d1 |
Quadratic twists by: -3 -31 |