Atkin-Lehner |
2- 3- 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650co |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
3634460928000000 = 214 · 34 · 56 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-100888,-11996608] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:680:1] |
Generators of the group modulo torsion |
j |
7268126762877625/232605499392 |
j-invariant |
L |
10.654435910115 |
L(r)(E,1)/r! |
Ω |
0.26840525755788 |
Real period |
R |
0.70884522086951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3066c1 |
Quadratic twists by: 5 |