Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480cc |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
96843600 = 24 · 34 · 52 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-981,-12150] |
[a1,a2,a3,a4,a6] |
Generators |
[42:150:1] |
Generators of the group modulo torsion |
j |
6532108386304/6052725 |
j-invariant |
L |
8.4368508719614 |
L(r)(E,1)/r! |
Ω |
0.85304035403899 |
Real period |
R |
2.4725825719701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620b1 |
Quadratic twists by: -4 |