Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ev |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
103149417600000000 = 213 · 38 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188658075,-997381277750] |
[a1,a2,a3,a4,a6] |
Generators |
[5596710:177751750:343] |
Generators of the group modulo torsion |
j |
15916310615119911121/2210850 |
j-invariant |
L |
7.5435080672142 |
L(r)(E,1)/r! |
Ω |
0.040736217895797 |
Real period |
R |
11.573712007217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650bw4 20400dl4 12240bs4 |
Quadratic twists by: -4 -3 5 |