Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
23595t |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-375788716875 = -1 · 35 · 54 · 114 · 132 |
Discriminant |
Eigenvalues |
-2 3- 5- -1 11- 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1170,-24766] |
[a1,a2,a3,a4,a6] |
Generators |
[216:-3218:1] |
Generators of the group modulo torsion |
j |
12087578624/25666875 |
j-invariant |
L |
3.4063292065711 |
L(r)(E,1)/r! |
Ω |
0.4954063443693 |
Real period |
R |
0.05729857327032 |
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 |
70785u1 117975i1 23595q1 |
Quadratic twists by: -3 5 -11 |