Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bs |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-347105585971200 = -1 · 214 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12805,1059997] |
[a1,a2,a3,a4,a6] |
Generators |
[84:755:1] |
Generators of the group modulo torsion |
j |
-50176/75 |
j-invariant |
L |
4.0717172158591 |
L(r)(E,1)/r! |
Ω |
0.48471496153718 |
Real period |
R |
4.2001150562094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040he1 5880be1 47040ca1 |
Quadratic twists by: -4 8 -7 |