Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1624d |
Isogeny class |
Conductor |
1624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3493704704 = 210 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-504,3136] |
[a1,a2,a3,a4,a6] |
Generators |
[0:56:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
1.9174875088569 |
L(r)(E,1)/r! |
Ω |
1.3201087076566 |
Real period |
R |
0.48417414357255 |
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 |
3248a2 12992s2 14616e2 40600a2 |
Quadratic twists by: -4 8 -3 5 |