Atkin-Lehner |
2- 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114608g |
Isogeny class |
Conductor |
114608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-3323632 = -1 · 24 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2- -2 2 4 -6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18,-77] |
[a1,a2,a3,a4,a6] |
Generators |
[7:21:1] |
Generators of the group modulo torsion |
j |
38112512/207727 |
j-invariant |
L |
5.9509500186933 |
L(r)(E,1)/r! |
Ω |
1.260729689739 |
Real period |
R |
2.3601213228994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999535585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28652a1 |
Quadratic twists by: -4 |