Atkin-Lehner |
2- 3+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bq |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
614016000 = 210 · 32 · 53 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-553,4631] |
[a1,a2,a3,a4,a6] |
Generators |
[5:42:1] [-25:72:1] |
Generators of the group modulo torsion |
j |
149636718629/4912128 |
j-invariant |
L |
12.690239816754 |
L(r)(E,1)/r! |
Ω |
1.6170226914698 |
Real period |
R |
0.78479045989586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79950bc1 |
Quadratic twists by: 5 |