Atkin-Lehner |
2+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320b |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-7976960 = -1 · 211 · 5 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -1 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-547,-4926] |
[a1,a2,a3,a4,a6] |
Generators |
[29:60:1] |
Generators of the group modulo torsion |
j |
-8838035442/3895 |
j-invariant |
L |
5.0080941716922 |
L(r)(E,1)/r! |
Ω |
0.49358419731003 |
Real period |
R |
2.5365956805493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31160d1 |
Quadratic twists by: -4 |