Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bn |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2074745664000 = -1 · 29 · 312 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,-76786] |
[a1,a2,a3,a4,a6] |
j |
-2186875592/5558625 |
j-invariant |
L |
4.0139812843773 |
L(r)(E,1)/r! |
Ω |
0.33449843712788 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840p1 29280b1 |
Quadratic twists by: -4 -3 |