Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
524288 |
Modular degree for the optimal curve |
Δ |
49132339200 = 218 · 32 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249921,48173121] |
[a1,a2,a3,a4,a6] |
Generators |
[291:60:1] |
Generators of the group modulo torsion |
j |
6585576176607121/187425 |
j-invariant |
L |
6.2298246957183 |
L(r)(E,1)/r! |
Ω |
0.82520658377866 |
Real period |
R |
0.94367652455139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240iq1 1785o1 |
Quadratic twists by: -4 8 |