Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360t |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.912896E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3373185,2290956417] |
[a1,a2,a3,a4,a6] |
Generators |
[-861:67500:1] |
Generators of the group modulo torsion |
j |
16192145593815022369/729711914062500 |
j-invariant |
L |
4.1468685690901 |
L(r)(E,1)/r! |
Ω |
0.17731209282776 |
Real period |
R |
0.83526423118747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360db1 1230i1 118080z1 |
Quadratic twists by: -4 8 -3 |