Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600g |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3224580915200 = -1 · 227 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 1 0 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1953,93217] |
[a1,a2,a3,a4,a6] |
Generators |
[31:248:1] |
Generators of the group modulo torsion |
j |
-125768785/492032 |
j-invariant |
L |
5.0746230856959 |
L(r)(E,1)/r! |
Ω |
0.69538371614923 |
Real period |
R |
1.8243967207765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600cd1 1550b1 49600be1 |
Quadratic twists by: -4 8 5 |