Atkin-Lehner |
2- 3+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008be |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-2.2847822189245E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,586952,706152304] |
[a1,a2,a3,a4,a6] |
Generators |
[60:27232:1] |
Generators of the group modulo torsion |
j |
5459725204437026375/55780815891710448 |
j-invariant |
L |
3.7607422314922 |
L(r)(E,1)/r! |
Ω |
0.12984416895048 |
Real period |
R |
3.6204381198327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626g1 |
Quadratic twists by: -4 |