Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792i |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-90768384 = -1 · 210 · 33 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,540] |
[a1,a2,a3,a4,a6] |
Generators |
[2:20:1] |
Generators of the group modulo torsion |
j |
-834148/1809 |
j-invariant |
L |
4.8832264596712 |
L(r)(E,1)/r! |
Ω |
1.6940749140797 |
Real period |
R |
1.4412663858206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78792k1 |
Quadratic twists by: -7 |