Atkin-Lehner |
2- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51850w |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
414800000000 = 210 · 58 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -3 7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1930,10697] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:215:1] |
Generators of the group modulo torsion |
j |
2034345105/1061888 |
j-invariant |
L |
7.3616180106056 |
L(r)(E,1)/r! |
Ω |
0.83079164786123 |
Real period |
R |
0.29536559214692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850c1 |
Quadratic twists by: 5 |