Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040eu |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-8965418515200000000 = -1 · 214 · 35 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67685,144241917] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:12125:1] |
Generators of the group modulo torsion |
j |
-363080704/94921875 |
j-invariant |
L |
5.6468319085653 |
L(r)(E,1)/r! |
Ω |
0.18835794938266 |
Real period |
R |
3.7474074807297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040cx1 11760t1 47040fy1 |
Quadratic twists by: -4 8 -7 |