Atkin-Lehner |
3+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
49995a |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
3126627442705078125 = 39 · 510 · 115 · 101 |
Discriminant |
Eigenvalues |
2 3+ 5+ 1 11+ 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-500553,-106501021] |
[a1,a2,a3,a4,a6] |
j |
704664877343182848/158849130859375 |
j-invariant |
L |
2.9181871115182 |
L(r)(E,1)/r! |
Ω |
0.18238669446826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49995b1 |
Quadratic twists by: -3 |