Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330z |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
2403194572800 = 212 · 38 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3591,35721] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:297:1] |
Generators of the group modulo torsion |
j |
5121267797319409/2403194572800 |
j-invariant |
L |
8.2801832261126 |
L(r)(E,1)/r! |
Ω |
0.7291503717804 |
Real period |
R |
0.47316390112911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122640z1 45990bc1 76650a1 107310cp1 |
Quadratic twists by: -4 -3 5 -7 |