Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248q |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-632815616 = -1 · 219 · 17 · 71 |
Discriminant |
Eigenvalues |
2- -1 1 -1 -4 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,1249] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-32:1] |
Generators of the group modulo torsion |
j |
-117649/2414 |
j-invariant |
L |
3.1000962711465 |
L(r)(E,1)/r! |
Ω |
1.3639072270982 |
Real period |
R |
0.56823811246352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248a1 19312e1 |
Quadratic twists by: -4 8 |