Atkin-Lehner |
2- 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954ba |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43552278 = 2 · 32 · 72 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:155:8] |
Generators of the group modulo torsion |
j |
75418890625/43552278 |
j-invariant |
L |
9.9415563197849 |
L(r)(E,1)/r! |
Ω |
1.7019124435479 |
Real period |
R |
2.9207014607227 |
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 |
92862l2 |
Quadratic twists by: -3 |