Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550ed |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3359232 |
Modular degree for the optimal curve |
Δ |
-1456815829896000000 = -1 · 29 · 315 · 56 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1072580,-431212953] |
[a1,a2,a3,a4,a6] |
Generators |
[307795:13454967:125] |
Generators of the group modulo torsion |
j |
-11980221891814513/127896039936 |
j-invariant |
L |
12.716921491908 |
L(r)(E,1)/r! |
Ω |
0.074128608312952 |
Real period |
R |
9.5306745306923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850d1 4662i1 |
Quadratic twists by: -3 5 |