Atkin-Lehner |
2+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51262d |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
705888 |
Modular degree for the optimal curve |
Δ |
-1783012164828655616 = -1 · 212 · 1910 · 71 |
Discriminant |
Eigenvalues |
2+ -1 -3 2 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,62446,63989044] |
[a1,a2,a3,a4,a6] |
Generators |
[3948:2757194:343] |
Generators of the group modulo torsion |
j |
4392287/290816 |
j-invariant |
L |
3.3374492666712 |
L(r)(E,1)/r! |
Ω |
0.20181581210877 |
Real period |
R |
8.2685524781234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51262e1 |
Quadratic twists by: -19 |