Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800ca |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
103807156096000000 = 213 · 56 · 7 · 415 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6314008,6108774512] |
[a1,a2,a3,a4,a6] |
Generators |
[658:47314:1] [1396:3608:1] |
Generators of the group modulo torsion |
j |
434969885624052241/1621986814 |
j-invariant |
L |
9.6258333573484 |
L(r)(E,1)/r! |
Ω |
0.29417439742452 |
Real period |
R |
1.6360759874571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350d2 4592h2 |
Quadratic twists by: -4 5 |