Atkin-Lehner |
2+ 3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486h |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-15481096128 = -1 · 26 · 32 · 233 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 -6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122,-6060] |
[a1,a2,a3,a4,a6] |
Generators |
[28:102:1] [44:254:1] |
Generators of the group modulo torsion |
j |
-203401212841/15481096128 |
j-invariant |
L |
2.8985875564081 |
L(r)(E,1)/r! |
Ω |
0.54821772778527 |
Real period |
R |
0.88121543974809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888u1 19458g1 |
Quadratic twists by: -4 -3 |