Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094k |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1084131769319424 = -1 · 224 · 39 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 6 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12297,-1497763] |
[a1,a2,a3,a4,a6] |
Generators |
[13108:191545:64] |
Generators of the group modulo torsion |
j |
213213153069/1124073472 |
j-invariant |
L |
6.694201734126 |
L(r)(E,1)/r! |
Ω |
0.24638418597315 |
Real period |
R |
6.7924425708599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bo1 59094d2 |
Quadratic twists by: -3 -7 |