Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17346v |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
407040 |
Modular degree for the optimal curve |
Δ |
-28608193043103744 = -1 · 240 · 32 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1712376,861800505] |
[a1,a2,a3,a4,a6] |
Generators |
[325:18269:1] |
Generators of the group modulo torsion |
j |
-11332482180988990520401/583840674349056 |
j-invariant |
L |
5.9050350730263 |
L(r)(E,1)/r! |
Ω |
0.35248889017931 |
Real period |
R |
0.20940500670895 |
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 |
52038s1 17346x1 |
Quadratic twists by: -3 -7 |