Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240t |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
741718425600 = 216 · 39 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52812,4671216] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1360:1] |
Generators of the group modulo torsion |
j |
12628458252/575 |
j-invariant |
L |
6.9466247532441 |
L(r)(E,1)/r! |
Ω |
0.84732132335103 |
Real period |
R |
4.0991679082641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240du2 8280o2 66240b2 |
Quadratic twists by: -4 8 -3 |