Atkin-Lehner |
2- 3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906bd |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-52207998761701692 = -1 · 22 · 32 · 73 · 134 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19293,-11049585] |
[a1,a2,a3,a4,a6] |
j |
-2315422727572375/152209908926244 |
j-invariant |
L |
3.7523727986455 |
L(r)(E,1)/r! |
Ω |
0.15634886814964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87906bw1 |
Quadratic twists by: -7 |