Atkin-Lehner |
2+ 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448f |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
12533431783646208 = 210 · 3 · 193 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -4 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71896,-5127388] |
[a1,a2,a3,a4,a6] |
Generators |
[-9730:7308:125] |
Generators of the group modulo torsion |
j |
40136914388511076/12239679476217 |
j-invariant |
L |
8.6328755929116 |
L(r)(E,1)/r! |
Ω |
0.29846946359106 |
Real period |
R |
4.8206358583803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13224g1 105792bj1 79344i1 |
Quadratic twists by: -4 8 -3 |