Atkin-Lehner |
2- 5- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050r |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1032470000 = 24 · 54 · 23 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- -1 -3 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-280,-853] |
[a1,a2,a3,a4,a6] |
Generators |
[23:55:1] |
Generators of the group modulo torsion |
j |
3871353825/1651952 |
j-invariant |
L |
7.9694326790257 |
L(r)(E,1)/r! |
Ω |
1.2131603747302 |
Real period |
R |
0.8211437707766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050f1 |
Quadratic twists by: 5 |