Atkin-Lehner |
3+ 5- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
90525i |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-4852390266263671875 = -1 · 34 · 59 · 17 · 715 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 -3 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2457458,-1485745807] |
[a1,a2,a3,a4,a6] |
Generators |
[291106036:6737803071:140608] |
Generators of the group modulo torsion |
j |
-840334438595538944/2484423816327 |
j-invariant |
L |
12.148024138926 |
L(r)(E,1)/r! |
Ω |
0.060279705698052 |
Real period |
R |
10.07637977877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90525s1 |
Quadratic twists by: 5 |