Atkin-Lehner |
2+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650c |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-10572800 = -1 · 210 · 52 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -4 -1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-141,648] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] [18:54:1] |
Generators of the group modulo torsion |
j |
-12274557745/422912 |
j-invariant |
L |
6.1656272731062 |
L(r)(E,1)/r! |
Ω |
2.2687339283164 |
Real period |
R |
1.3588255537929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650bj1 |
Quadratic twists by: 5 |