Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376t |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21457398539313152 = 213 · 1310 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 4 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-557531,-160077814] |
[a1,a2,a3,a4,a6] |
Generators |
[-651601235123:247116784530:1477648619] |
Generators of the group modulo torsion |
j |
969417177273/1085318 |
j-invariant |
L |
6.4691731885944 |
L(r)(E,1)/r! |
Ω |
0.17472759266073 |
Real period |
R |
18.51216825579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6422e4 3952d3 |
Quadratic twists by: -4 13 |