Atkin-Lehner |
5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6715a |
Isogeny class |
Conductor |
6715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3528 |
Modular degree for the optimal curve |
Δ |
-48515875 = -1 · 53 · 173 · 79 |
Discriminant |
Eigenvalues |
2 2 5+ 2 -2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6,337] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:4501:216] |
Generators of the group modulo torsion |
j |
-28094464/48515875 |
j-invariant |
L |
9.8471427466091 |
L(r)(E,1)/r! |
Ω |
1.6175659036596 |
Real period |
R |
6.0876300151549 |
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 |
107440n1 60435k1 33575e1 114155k1 |
Quadratic twists by: -4 -3 5 17 |