Atkin-Lehner |
2- 5+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050q |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-354430000000 = -1 · 27 · 57 · 232 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -1 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1662,-11708] |
[a1,a2,a3,a4,a6] |
Generators |
[62:544:1] [12:94:1] |
Generators of the group modulo torsion |
j |
32492296871/22683520 |
j-invariant |
L |
10.175582295942 |
L(r)(E,1)/r! |
Ω |
0.54069648230196 |
Real period |
R |
0.67212135704084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15410a1 |
Quadratic twists by: 5 |