Atkin-Lehner |
5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15575g |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
389375 = 54 · 7 · 89 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1442,21441] |
[a1,a2,a3,a4,a6] |
Generators |
[24:3:1] |
Generators of the group modulo torsion |
j |
530773065225/623 |
j-invariant |
L |
5.6043512468464 |
L(r)(E,1)/r! |
Ω |
2.5354314907431 |
Real period |
R |
0.73680440157924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15575b1 109025t1 |
Quadratic twists by: 5 -7 |