Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816d |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.5895607518974E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549760,2536495216] |
[a1,a2,a3,a4,a6] |
Generators |
[-354:61226:1] |
Generators of the group modulo torsion |
j |
4830819956736129020164/83882429217747963 |
j-invariant |
L |
3.7186296835744 |
L(r)(E,1)/r! |
Ω |
0.19185100861916 |
Real period |
R |
2.4228630007858 |
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 |
12408g2 99264ce2 74448b2 |
Quadratic twists by: -4 8 -3 |