Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ej |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
1.7015295298241E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1427728,-625437248] |
[a1,a2,a3,a4,a6] |
Generators |
[-94024968:-728600576:148877] |
Generators of the group modulo torsion |
j |
628623316769266853/33232998629376 |
j-invariant |
L |
5.5346525305601 |
L(r)(E,1)/r! |
Ω |
0.13856843110339 |
Real period |
R |
9.9854138615314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650dg1 109200hl1 |
Quadratic twists by: -4 5 |