Atkin-Lehner |
3- 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453r |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1948370147577 = 32 · 78 · 17 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 7- 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6886,208835] |
[a1,a2,a3,a4,a6] |
Generators |
[67595:1520812:125] |
Generators of the group modulo torsion |
j |
306863943625/16560873 |
j-invariant |
L |
11.520061576244 |
L(r)(E,1)/r! |
Ω |
0.81898487049436 |
Real period |
R |
7.0331345442688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779g1 |
Quadratic twists by: -7 |