Atkin-Lehner |
3- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
66297p |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-600582732981 = -1 · 3 · 79 · 112 · 41 |
Discriminant |
Eigenvalues |
1 3- -3 7- 11- -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1885,20087] |
[a1,a2,a3,a4,a6] |
Generators |
[95:981:1] |
Generators of the group modulo torsion |
j |
6300872423/5104869 |
j-invariant |
L |
6.7713668485708 |
L(r)(E,1)/r! |
Ω |
0.59115790095195 |
Real period |
R |
2.8636032933805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9471b1 |
Quadratic twists by: -7 |