Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dl |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
194294135085109248 = 212 · 3 · 72 · 199 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2489576,1510967412] |
[a1,a2,a3,a4,a6] |
Generators |
[632703492:-399377910:704969] |
Generators of the group modulo torsion |
j |
8855610342769/1008273 |
j-invariant |
L |
13.122804250646 |
L(r)(E,1)/r! |
Ω |
0.30583831911167 |
Real period |
R |
10.726912992005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7581c1 6384z1 |
Quadratic twists by: -4 -19 |