Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552be |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-18366049993883648 = -1 · 220 · 76 · 533 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19288768,-32612980940] |
[a1,a2,a3,a4,a6] |
Generators |
[594037248331722904804182852:-304719825459552296443846119854:2256937576530808444281] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
6.1421386140164 |
L(r)(E,1)/r! |
Ω |
0.036019977246878 |
Real period |
R |
42.63008393869 |
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 |
5194n2 848b2 |
Quadratic twists by: -4 -7 |