Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105f |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
351563477760495 = 38 · 5 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-119025656,-499864252966] |
[a1,a2,a3,a4,a6] |
j |
1585102034744426333706481/2988240255 |
j-invariant |
L |
0.36566152938712 |
L(r)(E,1)/r! |
Ω |
0.04570770426001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015u4 |
Quadratic twists by: -7 |