Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42834g |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41184000 |
Modular degree for the optimal curve |
Δ |
-2.1410708266014E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11- 0 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10097528773,-390549554603699] |
[a1,a2,a3,a4,a6] |
Generators |
[7185513282063854318531264792325114525:-51755817617469848364409660697009922346:61916674188886470024523593384979] |
Generators of the group modulo torsion |
j |
-64270680662155941646665331249/120857866401516355584 |
j-invariant |
L |
2.5190488085102 |
L(r)(E,1)/r! |
Ω |
0.0075303599372119 |
Real period |
R |
55.753174029616 |
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 |
128502bp1 3894i1 |
Quadratic twists by: -3 -11 |