Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297f |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-76907858252841 = -1 · 32 · 76 · 116 · 41 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6639,-364230] |
[a1,a2,a3,a4,a6] |
Generators |
[62:508:1] |
Generators of the group modulo torsion |
j |
275005425527/653706009 |
j-invariant |
L |
3.3937977079683 |
L(r)(E,1)/r! |
Ω |
0.31633978076942 |
Real period |
R |
0.89402753897452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1353d2 |
Quadratic twists by: -7 |