Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200s |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
-1444000000000 = -1 · 211 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 -5 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,792,-56912] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2500:1] |
Generators of the group modulo torsion |
j |
38 |
j-invariant |
L |
2.4088767875065 |
L(r)(E,1)/r! |
Ω |
0.41191187707692 |
Real period |
R |
2.9240195793732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72200be1 72200bd1 |
Quadratic twists by: 5 -19 |