Atkin-Lehner |
3- 7- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
99351g |
Isogeny class |
Conductor |
99351 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
288626834538441 = 38 · 72 · 194 · 832 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19206,-612833] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:9299:8] |
Generators of the group modulo torsion |
j |
1074780248816737/395921583729 |
j-invariant |
L |
9.925893098036 |
L(r)(E,1)/r! |
Ω |
0.41810685284417 |
Real period |
R |
5.935021757426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023977 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33117b2 |
Quadratic twists by: -3 |