Atkin-Lehner |
3- 5- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805y |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
69543936 |
Modular degree for the optimal curve |
Δ |
-2.8608289811413E+28 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,758187663,1285904379865] |
[a1,a2,a3,a4,a6] |
Generators |
[1171874:456459701:8] |
Generators of the group modulo torsion |
j |
66119007240006340628729286656/39243195900429822334726875 |
j-invariant |
L |
12.906801780164 |
L(r)(E,1)/r! |
Ω |
0.02277493046776 |
Real period |
R |
1.6866396402824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25935e1 |
Quadratic twists by: -3 |