Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3045d |
Isogeny class |
Conductor |
3045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
237890625 = 3 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3261,70314] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-13:1] |
Generators of the group modulo torsion |
j |
3835168345623889/237890625 |
j-invariant |
L |
1.6368900156563 |
L(r)(E,1)/r! |
Ω |
1.6686929990258 |
Real period |
R |
1.9618827628712 |
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 |
48720cc4 9135m3 15225p4 21315x4 |
Quadratic twists by: -4 -3 5 -7 |