Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635q |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
183464667530589375 = 318 · 54 · 73 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254970,45129825] |
[a1,a2,a3,a4,a6] |
j |
7331119078549447/733720730625 |
j-invariant |
L |
2.4856454991851 |
L(r)(E,1)/r! |
Ω |
0.31070566095894 |
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 |
34545u2 103635be2 |
Quadratic twists by: -3 -7 |