Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830f |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
46777901234400 = 25 · 32 · 52 · 710 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9177,75141] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:414:1] |
Generators of the group modulo torsion |
j |
85486955243540761/46777901234400 |
j-invariant |
L |
2.6671792106547 |
L(r)(E,1)/r! |
Ω |
0.5546926548273 |
Real period |
R |
0.48083910746667 |
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 |
38640cy2 14490bs2 24150cg2 33810bb2 |
Quadratic twists by: -4 -3 5 -7 |