Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3528b |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-29047955989248 = -1 · 28 · 39 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 -3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111132,14261940] |
[a1,a2,a3,a4,a6] |
Generators |
[294:2646:1] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
2.7255279091933 |
L(r)(E,1)/r! |
Ω |
0.64375811606009 |
Real period |
R |
0.17640734935985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7056d1 28224g1 3528n1 88200ei1 |
Quadratic twists by: -4 8 -3 5 |