Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775a |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1236327421875 = -1 · 3 · 57 · 74 · 133 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-185383,-30660582] |
[a1,a2,a3,a4,a6] |
Generators |
[677292:3395247:1331] |
Generators of the group modulo torsion |
j |
-18781210771456/32955 |
j-invariant |
L |
4.3317472465809 |
L(r)(E,1)/r! |
Ω |
0.11504078633826 |
Real period |
R |
9.413503211472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555s2 47775cn2 |
Quadratic twists by: 5 -7 |