Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520cl |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2020054007808000 = 220 · 312 · 53 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33132,-843856] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:1215:1] |
Generators of the group modulo torsion |
j |
21047437081/10570500 |
j-invariant |
L |
6.7415833093075 |
L(r)(E,1)/r! |
Ω |
0.37293299407862 |
Real period |
R |
1.5064331069913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fy1 2610l1 27840r1 |
Quadratic twists by: -4 8 -3 |