Atkin-Lehner |
2- 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bt |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
10828800 |
Modular degree for the optimal curve |
Δ |
1.7016704466944E+22 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19765388,33226884781] |
[a1,a2,a3,a4,a6] |
Generators |
[35:180357:1] |
Generators of the group modulo torsion |
j |
437229752177257616429/8712552687075328 |
j-invariant |
L |
14.646393348067 |
L(r)(E,1)/r! |
Ω |
0.12331956021175 |
Real period |
R |
3.9589267983651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450o1 |
Quadratic twists by: 5 |