Atkin-Lehner |
3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067i |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13608 |
Modular degree for the optimal curve |
Δ |
-127413867 = -1 · 3 · 76 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 5 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,97,440] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
2375/3 |
j-invariant |
L |
3.0601801205931 |
L(r)(E,1)/r! |
Ω |
1.2446181990983 |
Real period |
R |
2.458730012851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1083d1 53067m1 |
Quadratic twists by: -7 -19 |