Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cu |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-1.2636089928832E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -5 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23868713,44882343417] |
[a1,a2,a3,a4,a6] |
Generators |
[862:-158381:1] |
Generators of the group modulo torsion |
j |
-96247774160455664486089/808709755445280 |
j-invariant |
L |
9.3243465718973 |
L(r)(E,1)/r! |
Ω |
0.20214022457014 |
Real period |
R |
0.082371625499052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430f1 |
Quadratic twists by: 5 |