Atkin-Lehner |
2- 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096j |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31232 |
Modular degree for the optimal curve |
Δ |
-96337852416 = -1 · 211 · 33 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1707,30982] |
[a1,a2,a3,a4,a6] |
Generators |
[178:507:8] |
Generators of the group modulo torsion |
j |
-9947880486/1742221 |
j-invariant |
L |
7.1963549999231 |
L(r)(E,1)/r! |
Ω |
1.0266480194396 |
Real period |
R |
1.7523910005432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114192a1 57096a1 |
Quadratic twists by: -4 -3 |