Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328k |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1923987215239842816 = -1 · 210 · 316 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,280656,-34424676] |
[a1,a2,a3,a4,a6] |
Generators |
[9659007657:278339761700:36926037] |
Generators of the group modulo torsion |
j |
20293500269948/15970333491 |
j-invariant |
L |
4.7316862999076 |
L(r)(E,1)/r! |
Ω |
0.14628211088683 |
Real period |
R |
16.173154296016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656bl3 8904d4 |
Quadratic twists by: -4 -7 |