Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370t |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
61643531250000000 = 27 · 34 · 512 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-318777,-68370651] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:1131:1] |
Generators of the group modulo torsion |
j |
10444620346267309327/179718750000000 |
j-invariant |
L |
4.5395467633018 |
L(r)(E,1)/r! |
Ω |
0.20113190517696 |
Real period |
R |
1.8808332020147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999568377 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104370bm2 |
Quadratic twists by: -7 |