Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1974c |
Isogeny class |
Conductor |
1974 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25033994614960128 = 212 · 34 · 7 · 476 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133451,-17161738] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1048:1] |
Generators of the group modulo torsion |
j |
262835807677978515625/25033994614960128 |
j-invariant |
L |
2.6135596215192 |
L(r)(E,1)/r! |
Ω |
0.25131373183685 |
Real period |
R |
2.5998973498351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792r4 63168s4 5922q4 49350bq4 |
Quadratic twists by: -4 8 -3 5 |