Atkin-Lehner |
2+ 5- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
77050g |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-22683520000 = -1 · 210 · 54 · 232 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 0 -2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-101,7248] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:66:1] [-13:86:1] |
Generators of the group modulo torsion |
j |
-179726425/36293632 |
j-invariant |
L |
5.7306798897169 |
L(r)(E,1)/r! |
Ω |
0.98252836703085 |
Real period |
R |
0.48604872235292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050p1 |
Quadratic twists by: 5 |