Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245d |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-1825137153125 = -1 · 55 · 112 · 136 |
Discriminant |
Eigenvalues |
1 -3 5+ 3 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1975,73750] |
[a1,a2,a3,a4,a6] |
j |
-1459161/3125 |
j-invariant |
L |
1.484283431719 |
L(r)(E,1)/r! |
Ω |
0.74214189640921 |
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 |
102245f1 605c1 |
Quadratic twists by: -11 13 |