Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200jg |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-210124800000000 = -1 · 220 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11167,-525537] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1548:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
8.1802196826877 |
L(r)(E,1)/r! |
Ω |
0.29938229090996 |
Real period |
R |
4.5539431942379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bq1 22800cl1 91200fx1 |
Quadratic twists by: -4 8 5 |