Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798x |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-1142161592260729248 = -1 · 25 · 311 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 3 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,172602,43340116] |
[a1,a2,a3,a4,a6] |
Generators |
[69587:3158546:343] |
Generators of the group modulo torsion |
j |
73560059/147744 |
j-invariant |
L |
4.1282883663231 |
L(r)(E,1)/r! |
Ω |
0.18976065404496 |
Real period |
R |
5.4388097300397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266t1 57798bv1 |
Quadratic twists by: -3 13 |