Atkin-Lehner |
3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297q |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-1349406252953451 = -1 · 32 · 76 · 11 · 415 |
Discriminant |
Eigenvalues |
1 3- -3 7- 11- 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-565,-1767433] |
[a1,a2,a3,a4,a6] |
Generators |
[2581:129827:1] |
Generators of the group modulo torsion |
j |
-169112377/11469763899 |
j-invariant |
L |
6.3343686018985 |
L(r)(E,1)/r! |
Ω |
0.21999907762733 |
Real period |
R |
2.8792705268957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1353a1 |
Quadratic twists by: -7 |