Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360bb |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1896914301773414400 = 220 · 316 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57386881,-167346510625] |
[a1,a2,a3,a4,a6] |
Generators |
[47467:10200960:1] |
Generators of the group modulo torsion |
j |
79729981196639723693281/7236153800100 |
j-invariant |
L |
6.6921823649607 |
L(r)(E,1)/r! |
Ω |
0.054852496840154 |
Real period |
R |
7.6252025323261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360br6 1230f5 118080bx6 |
Quadratic twists by: -4 8 -3 |