Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ef |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.305299700313E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39712801,93528369985] |
[a1,a2,a3,a4,a6] |
Generators |
[-6246:2817745:8] |
Generators of the group modulo torsion |
j |
898353183174324196/29899176238575 |
j-invariant |
L |
4.7127052161209 |
L(r)(E,1)/r! |
Ω |
0.098647307869093 |
Real period |
R |
5.9716596908971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ch4 11760bg3 6720cl3 |
Quadratic twists by: -4 8 -7 |