Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200v |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-2168609714843750000 = -1 · 24 · 512 · 176 · 23 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -6 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,322925,-5574125] |
[a1,a2,a3,a4,a6] |
Generators |
[165:7225:1] |
Generators of the group modulo torsion |
j |
14896653229760256/8674438859375 |
j-invariant |
L |
2.7487850401587 |
L(r)(E,1)/r! |
Ω |
0.15387141856206 |
Real period |
R |
0.74434037874384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640a1 |
Quadratic twists by: 5 |