Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150y |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1191797257168800 = 25 · 315 · 52 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68382,6696436] |
[a1,a2,a3,a4,a6] |
Generators |
[113:578:1] |
Generators of the group modulo torsion |
j |
1940372645668105/65393539488 |
j-invariant |
L |
3.9613030671223 |
L(r)(E,1)/r! |
Ω |
0.48367178110732 |
Real period |
R |
1.3650107441501 |
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 |
7050s1 21150ch1 |
Quadratic twists by: -3 5 |