Atkin-Lehner |
3+ 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119325h |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
10823150390625 = 34 · 59 · 37 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6013,-87094] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:153:1] |
Generators of the group modulo torsion |
j |
12310389629/5541453 |
j-invariant |
L |
3.636332799888 |
L(r)(E,1)/r! |
Ω |
0.56551336009875 |
Real period |
R |
3.2150724254834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999943064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119325s1 |
Quadratic twists by: 5 |