Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082bo |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-1135395238182912 = -1 · 217 · 36 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1681,-1621385] |
[a1,a2,a3,a4,a6] |
Generators |
[115:230:1] |
Generators of the group modulo torsion |
j |
6128487/13238272 |
j-invariant |
L |
11.689542531325 |
L(r)(E,1)/r! |
Ω |
0.22687385098056 |
Real period |
R |
1.515423980649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898a1 1818l1 |
Quadratic twists by: -3 -7 |