Atkin-Lehner |
3- 5+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49995d |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4555794375 = 38 · 54 · 11 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-299970000,-1999625016875] |
[a1,a2,a3,a4,a6] |
Generators |
[-243492225796771377417414770346862679387257257186475002210:121746140011342777028237355477672076905500839763612916697:24351048914557598765925574575069972926700861703401000] |
Generators of the group modulo torsion |
j |
4094771330554368081599520001/6249375 |
j-invariant |
L |
5.8136330865863 |
L(r)(E,1)/r! |
Ω |
0.036276894235383 |
Real period |
R |
80.128594382224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665b4 |
Quadratic twists by: -3 |