Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696be |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20348928 |
Modular degree for the optimal curve |
Δ |
2.4019126956755E+24 |
Discriminant |
Eigenvalues |
2+ -2 2 3 3 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184498977,-961756901057] |
[a1,a2,a3,a4,a6] |
Generators |
[38397:6968884:1] |
Generators of the group modulo torsion |
j |
2649510713007509894907337/9162569792463306752 |
j-invariant |
L |
6.414000260655 |
L(r)(E,1)/r! |
Ω |
0.040972397244034 |
Real period |
R |
4.3484561773769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696cb1 2678a1 |
Quadratic twists by: -4 8 |