Atkin-Lehner |
2+ 3- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87906s |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-78379675831548 = -1 · 22 · 34 · 76 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8598,296104] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-921:1] [1:551:1] |
Generators of the group modulo torsion |
j |
597585982967/666216252 |
j-invariant |
L |
8.4390577425753 |
L(r)(E,1)/r! |
Ω |
0.40597543539025 |
Real period |
R |
0.86612975881166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794c1 |
Quadratic twists by: -7 |