Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bv |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
361152 |
Modular degree for the optimal curve |
Δ |
-16554710016651664 = -1 · 24 · 118 · 136 |
Discriminant |
Eigenvalues |
2- -2 3 -2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,60921,-2191463] |
[a1,a2,a3,a4,a6] |
Generators |
[4980:65891:125] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
7.3430041434933 |
L(r)(E,1)/r! |
Ω |
0.22256925826831 |
Real period |
R |
8.247999072988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898s1 242b1 |
Quadratic twists by: -11 13 |