Atkin-Lehner |
2+ 5+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050f |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
16132343750000 = 24 · 510 · 23 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 -3 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6992,-113584] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:144:1] |
Generators of the group modulo torsion |
j |
3871353825/1651952 |
j-invariant |
L |
3.4197860305449 |
L(r)(E,1)/r! |
Ω |
0.54254181310116 |
Real period |
R |
1.5758168072609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050r1 |
Quadratic twists by: 5 |