Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23595f |
Isogeny class |
Conductor |
23595 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
6174997310625 = 3 · 54 · 117 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8786720,10021429232] |
[a1,a2,a3,a4,a6] |
Generators |
[127:94316:1] |
Generators of the group modulo torsion |
j |
42349468688699229721/3485625 |
j-invariant |
L |
1.7405784391625 |
L(r)(E,1)/r! |
Ω |
0.4204729321271 |
Real period |
R |
2.0697865500607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70785l1 117975bx1 2145d1 |
Quadratic twists by: -3 5 -11 |