Atkin-Lehner |
3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79059n |
Isogeny class |
Conductor |
79059 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
421200 |
Modular degree for the optimal curve |
Δ |
-223898968927251 = -1 · 313 · 192 · 733 |
Discriminant |
Eigenvalues |
2 3- -3 -2 4 4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6922,-755585] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:9203:8] |
Generators of the group modulo torsion |
j |
-101618793607168/620218750491 |
j-invariant |
L |
12.790067320651 |
L(r)(E,1)/r! |
Ω |
0.23389990318751 |
Real period |
R |
4.2062921740264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79059a1 |
Quadratic twists by: -19 |