Atkin-Lehner |
2- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320r |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-3025466489600 = -1 · 28 · 52 · 193 · 413 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1256581,-541749319] |
[a1,a2,a3,a4,a6] |
Generators |
[5341:380890:1] |
Generators of the group modulo torsion |
j |
-857147491743926124544/11818228475 |
j-invariant |
L |
4.0416122652504 |
L(r)(E,1)/r! |
Ω |
0.071297106949375 |
Real period |
R |
4.7239086766761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15580b1 |
Quadratic twists by: -4 |