Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76050dd |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-9225290880000 = -1 · 210 · 38 · 54 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 13- 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3717,-169259] |
[a1,a2,a3,a4,a6] |
j |
-5674525/9216 |
j-invariant |
L |
2.3154286563039 |
L(r)(E,1)/r! |
Ω |
0.28942858232539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cp1 76050fl2 76050gj1 |
Quadratic twists by: -3 5 13 |