Atkin-Lehner |
2- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9394f |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6303374 = 2 · 7 · 112 · 612 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61,151] |
[a1,a2,a3,a4,a6] |
j |
24718462497/6303374 |
j-invariant |
L |
2.230755305833 |
L(r)(E,1)/r! |
Ω |
2.230755305833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75152p2 84546p2 65758q2 103334q2 |
Quadratic twists by: -4 -3 -7 -11 |