Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840l |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-8511584764202496000 = -1 · 212 · 39 · 53 · 615 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 0 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,466872,-68019248] |
[a1,a2,a3,a4,a6] |
j |
3769031102810624/2850512515875 |
j-invariant |
L |
4.154409348152 |
L(r)(E,1)/r! |
Ω |
0.12982529477505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840bg1 29280bb1 |
Quadratic twists by: -4 -3 |