Atkin-Lehner |
2+ 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78792k |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
149184 |
Modular degree for the optimal curve |
Δ |
-10678809609216 = -1 · 210 · 33 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3544,-178144] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2940:1] |
Generators of the group modulo torsion |
j |
-834148/1809 |
j-invariant |
L |
6.0913325595224 |
L(r)(E,1)/r! |
Ω |
0.28979891598792 |
Real period |
R |
1.1677316433596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78792i1 |
Quadratic twists by: -7 |