Atkin-Lehner |
3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30927a |
Isogeny class |
Conductor |
30927 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
73575333 = 32 · 133 · 612 |
Discriminant |
Eigenvalues |
1 3+ 0 0 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-640,5959] |
[a1,a2,a3,a4,a6] |
Generators |
[18:17:1] |
Generators of the group modulo torsion |
j |
13227977125/33489 |
j-invariant |
L |
4.7333818735144 |
L(r)(E,1)/r! |
Ω |
1.9463822684936 |
Real period |
R |
1.2159435353821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92781n2 30927b2 |
Quadratic twists by: -3 13 |