Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cl |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
434 |
Product of Tamagawa factors cp |
deg |
1999872 |
Modular degree for the optimal curve |
Δ |
1.4933550956544E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1415438,272703492] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:-19166:1] |
Generators of the group modulo torsion |
j |
20071334919501405721/9557472612188160 |
j-invariant |
L |
12.748546282732 |
L(r)(E,1)/r! |
Ω |
0.16314090611089 |
Real period |
R |
0.18005619378391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210j1 |
Quadratic twists by: 5 |