Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48024d |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
427008 |
Modular degree for the optimal curve |
Δ |
-283973691888 = -1 · 24 · 37 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 5 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1154451,477431831] |
[a1,a2,a3,a4,a6] |
Generators |
[623:115:1] |
Generators of the group modulo torsion |
j |
-14588233766058627328/24346167 |
j-invariant |
L |
6.0752446187313 |
L(r)(E,1)/r! |
Ω |
0.62863313844163 |
Real period |
R |
0.60401331945889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048d1 16008i1 |
Quadratic twists by: -4 -3 |