Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770v |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1553264640 = -1 · 212 · 33 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3392,76899] |
[a1,a2,a3,a4,a6] |
Generators |
[29:33:1] |
Generators of the group modulo torsion |
j |
-159811283852163/57528320 |
j-invariant |
L |
5.5650471269187 |
L(r)(E,1)/r! |
Ω |
1.4772939692622 |
Real period |
R |
0.31392122143085 |
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 |
38160ba1 4770c1 23850g1 |
Quadratic twists by: -4 -3 5 |