Atkin-Lehner |
2+ 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472a |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
10526544 = 24 · 33 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,135] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
73598976/24367 |
j-invariant |
L |
4.55980226315 |
L(r)(E,1)/r! |
Ω |
2.103839380152 |
Real period |
R |
2.1673718564373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736d1 59472c1 |
Quadratic twists by: -4 -3 |