Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320u |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1030176000000 = -1 · 211 · 32 · 56 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2240,26092] |
[a1,a2,a3,a4,a6] |
j |
606657985918/503015625 |
j-invariant |
L |
3.3998309373661 |
L(r)(E,1)/r! |
Ω |
0.56663848908515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640t2 |
Quadratic twists by: -4 |