Atkin-Lehner |
2+ 3+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
49776b |
Isogeny class |
Conductor |
49776 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5440919786496 = -1 · 210 · 34 · 172 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 5 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7752,-283104] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-2074:1] |
Generators of the group modulo torsion |
j |
-50317733422372/5313398229 |
j-invariant |
L |
3.6560081892985 |
L(r)(E,1)/r! |
Ω |
0.25288742466806 |
Real period |
R |
0.6023774205232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24888d1 |
Quadratic twists by: -4 |