Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bf |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-11133360 = -1 · 24 · 32 · 5 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35,168] |
[a1,a2,a3,a4,a6] |
Generators |
[2474:43569:8] |
Generators of the group modulo torsion |
j |
-304900096/695835 |
j-invariant |
L |
9.3803556972841 |
L(r)(E,1)/r! |
Ω |
2.0146342472565 |
Real period |
R |
4.6561085268807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480g1 |
Quadratic twists by: -4 |