Atkin-Lehner |
2+ 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450q |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6174720 |
Modular degree for the optimal curve |
Δ |
1.273454034944E+21 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3260075,1476912125] |
[a1,a2,a3,a4,a6] |
Generators |
[11906849:-40307581:24389] |
Generators of the group modulo torsion |
j |
1961899043382467909/652008465891328 |
j-invariant |
L |
7.1291653413738 |
L(r)(E,1)/r! |
Ω |
0.14103937824167 |
Real period |
R |
12.636834872488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450bp1 |
Quadratic twists by: 5 |