Atkin-Lehner |
3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23175f |
Isogeny class |
Conductor |
23175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-347625 = -1 · 33 · 53 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5- -1 -4 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35,92] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] [3:1:1] |
Generators of the group modulo torsion |
j |
-1367631/103 |
j-invariant |
L |
4.9450949403185 |
L(r)(E,1)/r! |
Ω |
2.9763623503489 |
Real period |
R |
0.41536398783398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23175e1 23175g1 |
Quadratic twists by: -3 5 |