Atkin-Lehner |
7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48503j |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218400 |
Modular degree for the optimal curve |
Δ |
-3043491320051 = -1 · 7 · 139 · 41 |
Discriminant |
Eigenvalues |
2 -3 1 7- -4 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2197,92823] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1843:8] [338:2193:8] |
Generators of the group modulo torsion |
j |
-110592/287 |
j-invariant |
L |
12.088033486776 |
L(r)(E,1)/r! |
Ω |
0.70704691236812 |
Real period |
R |
8.54825420727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48503d1 |
Quadratic twists by: 13 |