Atkin-Lehner |
2+ 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650ba |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
836567040000000 = 222 · 3 · 57 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60126,-5506352] |
[a1,a2,a3,a4,a6] |
j |
1538438856711121/53540290560 |
j-invariant |
L |
1.2221436534107 |
L(r)(E,1)/r! |
Ω |
0.30553597929116 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bd1 |
Quadratic twists by: 5 |