Atkin-Lehner |
3- 7+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
100233h |
Isogeny class |
Conductor |
100233 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-17683546784967 = -1 · 36 · 7 · 374 · 432 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-176600,28609786] |
[a1,a2,a3,a4,a6] |
Generators |
[244:-82:1] |
Generators of the group modulo torsion |
j |
-835537557081389625/24257265823 |
j-invariant |
L |
3.3376608461904 |
L(r)(E,1)/r! |
Ω |
0.64327006851643 |
Real period |
R |
2.5942920353447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11137b1 |
Quadratic twists by: -3 |