Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240du |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-852976189440 = -1 · 214 · 39 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3132,-80784] |
[a1,a2,a3,a4,a6] |
Generators |
[21480:263844:125] |
Generators of the group modulo torsion |
j |
-10536048/2645 |
j-invariant |
L |
7.8134750904505 |
L(r)(E,1)/r! |
Ω |
0.31493257745119 |
Real period |
R |
6.2024982883431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240t1 16560b1 66240dn1 |
Quadratic twists by: -4 8 -3 |