Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840q |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
11299009960000 = 26 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40033,3078768] |
[a1,a2,a3,a4,a6] |
Generators |
[281:3744:1] |
Generators of the group modulo torsion |
j |
942344950464/1500625 |
j-invariant |
L |
3.7069395531974 |
L(r)(E,1)/r! |
Ω |
0.71714560666199 |
Real period |
R |
5.169019399633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7840p1 15680di2 70560bh1 39200e1 |
Quadratic twists by: -4 8 -3 5 |