Atkin-Lehner |
2- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488y |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
297600 |
Modular degree for the optimal curve |
Δ |
-906684721639424 = -1 · 212 · 72 · 135 · 233 |
Discriminant |
Eigenvalues |
2- -3 3 7- -3 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24496,2067952] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1379:1] |
Generators of the group modulo torsion |
j |
-396870925750272/221358574619 |
j-invariant |
L |
3.9953552486044 |
L(r)(E,1)/r! |
Ω |
0.46226199610075 |
Real period |
R |
4.3215268422523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093a1 |
Quadratic twists by: -4 |