Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26832b |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
2.7376316048843E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-839327,-155367642] |
[a1,a2,a3,a4,a6] |
Generators |
[-794629840700491046:-21368091260875948569:1975428109996424] |
Generators of the group modulo torsion |
j |
4086935924979581483008/1711019753052668253 |
j-invariant |
L |
4.6916141900032 |
L(r)(E,1)/r! |
Ω |
0.16371245391438 |
Real period |
R |
28.657649908888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13416g1 107328cm1 80496k1 |
Quadratic twists by: -4 8 -3 |