Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2415f |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3645140625 = 32 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2876,59055] |
[a1,a2,a3,a4,a6] |
j |
2630872462131649/3645140625 |
j-invariant |
L |
1.3996460788421 |
L(r)(E,1)/r! |
Ω |
1.3996460788421 |
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 |
38640bg2 7245s2 12075c2 16905q2 |
Quadratic twists by: -4 -3 5 -7 |