Atkin-Lehner |
3- 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805w |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
380928 |
Modular degree for the optimal curve |
Δ |
19730470748625 = 37 · 53 · 7 · 134 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-178187,28994586] |
[a1,a2,a3,a4,a6] |
Generators |
[246:-76:1] |
Generators of the group modulo torsion |
j |
858266076022461289/27065117625 |
j-invariant |
L |
4.6605361039536 |
L(r)(E,1)/r! |
Ω |
0.63877547643495 |
Real period |
R |
1.2160078867134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001822 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935b1 |
Quadratic twists by: -3 |