Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040bx |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-213724160 = -1 · 210 · 5 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -6 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75,683] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:23:1] [7:40:1] |
Generators of the group modulo torsion |
j |
44957696/208715 |
j-invariant |
L |
12.795277631815 |
L(r)(E,1)/r! |
Ω |
1.2736436927029 |
Real period |
R |
5.023099358603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040t1 19760s1 |
Quadratic twists by: -4 8 |