Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3045c |
Isogeny class |
Conductor |
3045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
15225 = 3 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,8] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
148035889/15225 |
j-invariant |
L |
1.7368233556705 |
L(r)(E,1)/r! |
Ω |
3.8202353799985 |
Real period |
R |
0.90927557226652 |
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 |
48720ca1 9135l1 15225n1 21315w1 |
Quadratic twists by: -4 -3 5 -7 |