Atkin-Lehner |
2- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704k |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9.0178257960058E+22 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ -4 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2769778264,-56107736647404] |
[a1,a2,a3,a4,a6] |
Generators |
[8014220:-683052022:125] |
Generators of the group modulo torsion |
j |
573718392227901342193352375257/22016176259779893044 |
j-invariant |
L |
1.9363105586653 |
L(r)(E,1)/r! |
Ω |
0.020810777452821 |
Real period |
R |
11.630455448765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338b2 |
Quadratic twists by: -4 |