Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73810i |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-432260884000 = -1 · 25 · 53 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4258,112577] |
[a1,a2,a3,a4,a6] |
Generators |
[47:97:1] |
Generators of the group modulo torsion |
j |
-4818245769/244000 |
j-invariant |
L |
7.8498189983784 |
L(r)(E,1)/r! |
Ω |
0.93105826053594 |
Real period |
R |
0.843107174928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
610a1 |
Quadratic twists by: -11 |