Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9065a |
Isogeny class |
Conductor |
9065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-2.8951786453028E+20 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 5 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,929269,742803625] |
[a1,a2,a3,a4,a6] |
Generators |
[730:230247:8] |
Generators of the group modulo torsion |
j |
754326479523774464/2460861244296875 |
j-invariant |
L |
3.957223553046 |
L(r)(E,1)/r! |
Ω |
0.12246024949319 |
Real period |
R |
4.0392939437728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81585bc1 45325d1 1295a1 |
Quadratic twists by: -3 5 -7 |