Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bz |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21934519649280 = 210 · 37 · 5 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21747,-1213634] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:144:1] |
Generators of the group modulo torsion |
j |
1523681836996/29383305 |
j-invariant |
L |
6.54435939596 |
L(r)(E,1)/r! |
Ω |
0.39360306533951 |
Real period |
R |
2.0783499838702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bm4 19320j3 |
Quadratic twists by: -4 -3 |