Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6216d |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
202852944 = 24 · 33 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3099,-65376] |
[a1,a2,a3,a4,a6] |
Generators |
[560:13172:1] |
Generators of the group modulo torsion |
j |
205782571927552/12678309 |
j-invariant |
L |
2.9290965871311 |
L(r)(E,1)/r! |
Ω |
0.63985871334625 |
Real period |
R |
4.577723997557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432s1 49728bx1 18648y1 43512k1 |
Quadratic twists by: -4 8 -3 -7 |