Atkin-Lehner |
3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235f |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-36607137902775 = -1 · 33 · 52 · 119 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4742,-315884] |
[a1,a2,a3,a4,a6] |
j |
-185193/575 |
j-invariant |
L |
2.1241036686951 |
L(r)(E,1)/r! |
Ω |
0.26551309697972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235a1 125235e1 |
Quadratic twists by: -3 -11 |