Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bq |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-3.8355775940198E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2889992,29736038512] |
[a1,a2,a3,a4,a6] |
Generators |
[134818444327005252:-11611261632117735424:21855709135079] |
Generators of the group modulo torsion |
j |
41709358422320399/5993089990656000 |
j-invariant |
L |
6.0197225137318 |
L(r)(E,1)/r! |
Ω |
0.073222656899067 |
Real period |
R |
20.552800072776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9150j1 14640bl1 |
Quadratic twists by: -4 5 |