Atkin-Lehner |
2- 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bq |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
218242406250000 = 24 · 32 · 59 · 114 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35088,2413281] |
[a1,a2,a3,a4,a6] |
j |
305759741604409/13967514000 |
j-invariant |
L |
4.4356096016813 |
L(r)(E,1)/r! |
Ω |
0.55445119646892 |
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 |
17490i1 |
Quadratic twists by: 5 |