Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480ca |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-3594240000 = -1 · 214 · 33 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,-1775] |
[a1,a2,a3,a4,a6] |
Generators |
[15:80:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
4.376583004975 |
L(r)(E,1)/r! |
Ω |
0.7731463119518 |
Real period |
R |
1.4151858895654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12480bg1 3120h1 37440dt1 62400gx1 |
Quadratic twists by: -4 8 -3 5 |