Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20720l |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5801600000000 = 213 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4856,-61100] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:266:1] |
Generators of the group modulo torsion |
j |
3092354182009/1416406250 |
j-invariant |
L |
4.007368509697 |
L(r)(E,1)/r! |
Ω |
0.59735282018428 |
Real period |
R |
3.354272696378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2590a2 82880bv2 103600bk2 |
Quadratic twists by: -4 8 5 |