Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296di |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1957321673349168 = -1 · 24 · 3 · 74 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111669,-14557218] |
[a1,a2,a3,a4,a6] |
Generators |
[782516638:13277895582:1442897] |
Generators of the group modulo torsion |
j |
-204589760512/2600283 |
j-invariant |
L |
7.618504401568 |
L(r)(E,1)/r! |
Ω |
0.13048407903637 |
Real period |
R |
14.596616675172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086553 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30324b1 6384w1 |
Quadratic twists by: -4 -19 |