Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23030g |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
136804327822400 = 26 · 52 · 77 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-741248,245327552] |
[a1,a2,a3,a4,a6] |
Generators |
[568:2536:1] |
Generators of the group modulo torsion |
j |
382848536477869561/1162817600 |
j-invariant |
L |
5.0905517407618 |
L(r)(E,1)/r! |
Ω |
0.50787562687258 |
Real period |
R |
1.6705375198874 |
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 |
115150ca3 3290e3 |
Quadratic twists by: 5 -7 |