Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830d |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
456435000 = 23 · 34 · 54 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-948,-11592] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:13:1] |
Generators of the group modulo torsion |
j |
94376601570889/456435000 |
j-invariant |
L |
2.3030838713414 |
L(r)(E,1)/r! |
Ω |
0.86052649566791 |
Real period |
R |
1.3381830094342 |
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 |
38640ci2 14490bz2 24150cc2 33810bq2 |
Quadratic twists by: -4 -3 5 -7 |