Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3381f |
Isogeny class |
Conductor |
3381 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-1788549 = -1 · 3 · 72 · 233 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -2 -7 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:14:1] |
Generators of the group modulo torsion |
j |
-105484561/36501 |
j-invariant |
L |
1.5829513508807 |
L(r)(E,1)/r! |
Ω |
2.4945681551942 |
Real period |
R |
0.21151975711504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096cr1 10143n1 84525bx1 3381k1 |
Quadratic twists by: -4 -3 5 -7 |