Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bn |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
40824000 |
Modular degree for the optimal curve |
Δ |
-3.8655375869976E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1408404388,-20366698700219] |
[a1,a2,a3,a4,a6] |
Generators |
[998894001156260:353265966026600287:7301384000] |
Generators of the group modulo torsion |
j |
-31637763642591525667474825/39583104890855317792 |
j-invariant |
L |
12.96553617488 |
L(r)(E,1)/r! |
Ω |
0.01232126053162 |
Real period |
R |
23.384216685382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050be1 |
Quadratic twists by: 5 |