Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120ba |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
338677770240000 = 214 · 38 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22323,929522] |
[a1,a2,a3,a4,a6] |
Generators |
[127:378:1] |
Generators of the group modulo torsion |
j |
411996867121/113422500 |
j-invariant |
L |
6.5374055559846 |
L(r)(E,1)/r! |
Ω |
0.50399150199956 |
Real period |
R |
3.2428153699435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999452 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6390i2 17040q2 |
Quadratic twists by: -4 -3 |