Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360c |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-448270925760000 = -1 · 29 · 35 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17416,-1343384] |
[a1,a2,a3,a4,a6] |
Generators |
[154071342:8153356825:54872] |
Generators of the group modulo torsion |
j |
-1141100604753992/875529151875 |
j-invariant |
L |
2.7422267596286 |
L(r)(E,1)/r! |
Ω |
0.20112049409653 |
Real period |
R |
13.634745538724 |
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 |
3360k4 6720ci4 10080bz4 16800bz4 |
Quadratic twists by: -4 8 -3 5 |