Atkin-Lehner |
2+ 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bc |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1064960 |
Modular degree for the optimal curve |
Δ |
-9007181159768064 = -1 · 213 · 38 · 75 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69363,-8366603] |
[a1,a2,a3,a4,a6] |
Generators |
[357:3325:1] |
Generators of the group modulo torsion |
j |
-50627130305339953/12355529711616 |
j-invariant |
L |
7.6284687854275 |
L(r)(E,1)/r! |
Ω |
0.1452214012258 |
Real period |
R |
2.6264960680802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214v1 |
Quadratic twists by: -3 |