Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360de |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1446420853785600 = 210 · 34 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57640,-5021500] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:540:1] |
Generators of the group modulo torsion |
j |
175798419556/12006225 |
j-invariant |
L |
10.25516018758 |
L(r)(E,1)/r! |
Ω |
0.30944246256929 |
Real period |
R |
2.0712978714654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635377 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680bu2 18480i2 |
Quadratic twists by: -4 -7 |