Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960be |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-174422640 = -1 · 24 · 3 · 5 · 7 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,140,35] |
[a1,a2,a3,a4,a6] |
Generators |
[291:1457:27] |
Generators of the group modulo torsion |
j |
18831375104/10901415 |
j-invariant |
L |
8.3572066392826 |
L(r)(E,1)/r! |
Ω |
1.0760377267927 |
Real period |
R |
2.5888827840075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480f1 |
Quadratic twists by: -4 |