Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ee |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2498119335936000 = 221 · 34 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16725921,-26323353279] |
[a1,a2,a3,a4,a6] |
Generators |
[-326254105793:-1260575940:138188413] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
4.6406618079613 |
L(r)(E,1)/r! |
Ω |
0.074653821215923 |
Real period |
R |
15.540603723855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cg7 11760cp7 960o8 |
Quadratic twists by: -4 8 -7 |