Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
90972l |
Isogeny class |
Conductor |
90972 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-510879878221104 = -1 · 24 · 36 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12996,925965] |
[a1,a2,a3,a4,a6] |
Generators |
[173064:3393855:512] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
6.5837724876009 |
L(r)(E,1)/r! |
Ω |
0.36175008013744 |
Real period |
R |
9.0998908559854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10108b1 4788f1 |
Quadratic twists by: -3 -19 |