Atkin-Lehner |
3+ 5- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525j |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
824320 |
Modular degree for the optimal curve |
Δ |
-512121898529296875 = -1 · 32 · 59 · 177 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 -3 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-328083,-79998307] |
[a1,a2,a3,a4,a6] |
Generators |
[2567:126437:1] |
Generators of the group modulo torsion |
j |
-1999614048763904/262206412047 |
j-invariant |
L |
4.1925034968869 |
L(r)(E,1)/r! |
Ω |
0.099016906535426 |
Real period |
R |
1.5121889114718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90525q1 |
Quadratic twists by: 5 |