Atkin-Lehner |
3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40887h |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
61967969217 = 311 · 72 · 112 · 59 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2457,-44712] |
[a1,a2,a3,a4,a6] |
Generators |
[88:600:1] |
Generators of the group modulo torsion |
j |
2250666132625/85004073 |
j-invariant |
L |
5.1411759796154 |
L(r)(E,1)/r! |
Ω |
0.67967070111745 |
Real period |
R |
3.7821079907944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13629b1 |
Quadratic twists by: -3 |