Atkin-Lehner |
3+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431a |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8891865484047 = 36 · 7 · 136 · 192 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8115,238698] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:186:1] |
Generators of the group modulo torsion |
j |
12246522625/1842183 |
j-invariant |
L |
4.740508248688 |
L(r)(E,1)/r! |
Ω |
0.7016901592097 |
Real period |
R |
3.3779212851958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
399b2 |
Quadratic twists by: 13 |