Atkin-Lehner |
3+ 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15405d |
Isogeny class |
Conductor |
15405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2135826225 = 34 · 52 · 132 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325,242] |
[a1,a2,a3,a4,a6] |
Generators |
[30:121:1] |
Generators of the group modulo torsion |
j |
3797146126801/2135826225 |
j-invariant |
L |
2.9633320609277 |
L(r)(E,1)/r! |
Ω |
1.2650713045847 |
Real period |
R |
2.3424229529107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46215f2 77025g2 |
Quadratic twists by: -3 5 |