Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624j |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
170840521628672 = 210 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -4 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-258328,-50446596] |
[a1,a2,a3,a4,a6] |
Generators |
[-472796883:-12352150:1601613] |
Generators of the group modulo torsion |
j |
12576878500/1127 |
j-invariant |
L |
8.2299673858059 |
L(r)(E,1)/r! |
Ω |
0.21176729017166 |
Real period |
R |
9.715815151545 |
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 |
59248f2 1288b2 |
Quadratic twists by: -4 -23 |