Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984ch |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
-9.9432098130155E+23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63450312,200385097200] |
[a1,a2,a3,a4,a6] |
j |
-170915990723796079/6015674034432 |
j-invariant |
L |
1.0480831482885 |
L(r)(E,1)/r! |
Ω |
0.087340262361851 |
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 |
4998v1 119952ff1 39984dg1 |
Quadratic twists by: -4 -3 -7 |