Atkin-Lehner |
3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605d |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
49597517025 = 34 · 52 · 74 · 1012 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-947,-3744] |
[a1,a2,a3,a4,a6] |
j |
94078420019641/49597517025 |
j-invariant |
L |
1.8257641390552 |
L(r)(E,1)/r! |
Ω |
0.91288206952761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31815i2 53025m2 74235k2 |
Quadratic twists by: -3 5 -7 |