Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680i |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
40178357049600 = 28 · 32 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15500,682452] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1176:1] |
Generators of the group modulo torsion |
j |
13674725584/1334025 |
j-invariant |
L |
4.7864364333964 |
L(r)(E,1)/r! |
Ω |
0.62752183678899 |
Real period |
R |
1.906880427306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360df2 9240k2 |
Quadratic twists by: -4 -7 |