Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150ba |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
46368 |
Modular degree for the optimal curve |
Δ |
11394304819200 = 214 · 33 · 52 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30623,2043461] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1202:1] |
Generators of the group modulo torsion |
j |
127036287331975705/455772192768 |
j-invariant |
L |
6.2971712778049 |
L(r)(E,1)/r! |
Ω |
0.7201726528628 |
Real period |
R |
0.20818986790951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200dj1 45450n1 15150s1 |
Quadratic twists by: -4 -3 5 |