Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610h |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
Δ |
-4.557268605456E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1843733,-10316201632] |
[a1,a2,a3,a4,a6] |
Generators |
[2739:70630:1] |
Generators of the group modulo torsion |
j |
-693134411413640434910281/45572686054560000000000 |
j-invariant |
L |
4.0194921759172 |
L(r)(E,1)/r! |
Ω |
0.050005197562064 |
Real period |
R |
0.80381487762916 |
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 |
68880bs2 25830bb2 43050bj2 60270b2 |
Quadratic twists by: -4 -3 5 -7 |