Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050a |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-313200000000 = -1 · 210 · 33 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333,26741] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:163:1] |
Generators of the group modulo torsion |
j |
9663597/742400 |
j-invariant |
L |
3.3268207580393 |
L(r)(E,1)/r! |
Ω |
0.73921271299104 |
Real period |
R |
2.2502459032246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400cp1 13050ba1 2610i1 |
Quadratic twists by: -4 -3 5 |