Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950bg |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-179460758620000 = -1 · 25 · 54 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-399351,97104698] |
[a1,a2,a3,a4,a6] |
Generators |
[2478:12953:8] [2966:143:8] |
Generators of the group modulo torsion |
j |
-13815278425/352 |
j-invariant |
L |
6.1211397480769 |
L(r)(E,1)/r! |
Ω |
0.52851430177716 |
Real period |
R |
11.581786392182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994786 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92950bp1 92950cz1 |
Quadratic twists by: 5 13 |