Atkin-Lehner |
3+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271d |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
237888 |
Modular degree for the optimal curve |
Δ |
-544132123821 = -1 · 37 · 112 · 132 · 233 |
Discriminant |
Eigenvalues |
1 3+ -3 0 11+ 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8609,305934] |
[a1,a2,a3,a4,a6] |
Generators |
[58:48:1] |
Generators of the group modulo torsion |
j |
-417612944086897/3219716709 |
j-invariant |
L |
4.5296039085748 |
L(r)(E,1)/r! |
Ω |
0.92869541213279 |
Real period |
R |
2.4386918506241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000092755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128271h1 |
Quadratic twists by: 13 |