Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850dh |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
396000 |
Modular degree for the optimal curve |
Δ |
-142106168242500 = -1 · 22 · 3 · 54 · 76 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12224,242498] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:367:1] |
Generators of the group modulo torsion |
j |
2747555975/1932612 |
j-invariant |
L |
5.7155830066384 |
L(r)(E,1)/r! |
Ω |
0.36800965656731 |
Real period |
R |
1.5531068005899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850eq2 1650d1 |
Quadratic twists by: 5 -7 |