Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575t |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-385176114296875 = -1 · 57 · 118 · 23 |
Discriminant |
Eigenvalues |
-2 2 5+ 0 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11092,-834032] |
[a1,a2,a3,a4,a6] |
Generators |
[82:787:1] |
Generators of the group modulo torsion |
j |
45056/115 |
j-invariant |
L |
3.8548414564464 |
L(r)(E,1)/r! |
Ω |
0.27574573007197 |
Real period |
R |
3.4949239792938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989125 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915c1 69575s1 |
Quadratic twists by: 5 -11 |