Atkin-Lehner |
5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
715a |
Isogeny class |
Conductor |
715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-17875 = -1 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
0 -2 5- 2 11+ 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
1.5787090658482 |
L(r)(E,1)/r! |
Ω |
3.5289602069209 |
Real period |
R |
1.3420744128132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11440v1 45760h1 6435i1 3575b1 |
Quadratic twists by: -4 8 -3 5 |