Atkin-Lehner |
2- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550bf |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-806791457000 = -1 · 23 · 53 · 17 · 834 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,807,-41969] |
[a1,a2,a3,a4,a6] |
Generators |
[29:68:1] [205:2862:1] |
Generators of the group modulo torsion |
j |
464944021723/6454331656 |
j-invariant |
L |
11.448357476634 |
L(r)(E,1)/r! |
Ω |
0.4378471075782 |
Real period |
R |
1.0894553980263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550r1 |
Quadratic twists by: 5 |