Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650bj |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-165200000000 = -1 · 210 · 58 · 7 · 59 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -4 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3513,81031] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-68:1] |
Generators of the group modulo torsion |
j |
-12274557745/422912 |
j-invariant |
L |
6.1006014666651 |
L(r)(E,1)/r! |
Ω |
1.0146086573151 |
Real period |
R |
0.20042543571458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650c1 |
Quadratic twists by: 5 |