Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575l |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-217421875 = -1 · 57 · 112 · 23 |
Discriminant |
Eigenvalues |
0 2 5+ -1 11- -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1283,-17282] |
[a1,a2,a3,a4,a6] |
Generators |
[746:6521:8] |
Generators of the group modulo torsion |
j |
-123633664/115 |
j-invariant |
L |
6.5518928300319 |
L(r)(E,1)/r! |
Ω |
0.3988048824238 |
Real period |
R |
4.1072044999497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915a1 69575k1 |
Quadratic twists by: 5 -11 |