Atkin-Lehner |
2+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53680k |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
1153281250000 = 24 · 510 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3502,60771] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1650:1] |
Generators of the group modulo torsion |
j |
296860322359296/72080078125 |
j-invariant |
L |
5.3103505735915 |
L(r)(E,1)/r! |
Ω |
0.81478062866318 |
Real period |
R |
1.303504375727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26840i1 |
Quadratic twists by: -4 |