Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296d |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-121798656 = -1 · 215 · 32 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257,1761] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-24:1] [-11:56:1] |
Generators of the group modulo torsion |
j |
-57512456/3717 |
j-invariant |
L |
7.0394448336761 |
L(r)(E,1)/r! |
Ω |
1.8320503623732 |
Real period |
R |
0.48029826160665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79296z1 39648c1 |
Quadratic twists by: -4 8 |