Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ct |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
581091940800 = 26 · 32 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11776,486590] |
[a1,a2,a3,a4,a6] |
Generators |
[17:540:1] |
Generators of the group modulo torsion |
j |
69934528/225 |
j-invariant |
L |
5.580697693801 |
L(r)(E,1)/r! |
Ω |
0.92247641579078 |
Real period |
R |
3.0248457295334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040v1 23520bn2 47040bv1 |
Quadratic twists by: -4 8 -7 |