Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9802c |
Isogeny class |
Conductor |
9802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
16310528 = 28 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77,-155] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] [127:1360:1] |
Generators of the group modulo torsion |
j |
23149125/7424 |
j-invariant |
L |
4.3079923642684 |
L(r)(E,1)/r! |
Ω |
1.6515929847131 |
Real period |
R |
2.6083862090375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78416v1 88218ci1 9802h1 |
Quadratic twists by: -4 -3 13 |