Atkin-Lehner |
7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
48503b |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-1772806680693139 = -1 · 75 · 137 · 412 |
Discriminant |
Eigenvalues |
2 -2 3 7+ 2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18984,2255829] |
[a1,a2,a3,a4,a6] |
j |
-156765196288/367283371 |
j-invariant |
L |
3.3376129852758 |
L(r)(E,1)/r! |
Ω |
0.41720162325401 |
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 |
3731c1 |
Quadratic twists by: 13 |