Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810de |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-1470892664999116800 = -1 · 228 · 34 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-220060,70576400] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-5980:1] |
Generators of the group modulo torsion |
j |
-10017490085065009/12502381363200 |
j-invariant |
L |
10.903553047522 |
L(r)(E,1)/r! |
Ω |
0.24309329051078 |
Real period |
R |
0.40047650844441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bm1 690g1 |
Quadratic twists by: -3 -7 |