Atkin-Lehner |
2+ 3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480j |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3744000 |
Modular degree for the optimal curve |
Δ |
-2489797089843750000 = -1 · 24 · 33 · 513 · 173 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3610516,-2642891341] |
[a1,a2,a3,a4,a6] |
Generators |
[3625:178653:1] |
Generators of the group modulo torsion |
j |
-325320680058510121510144/155612318115234375 |
j-invariant |
L |
4.784786173192 |
L(r)(E,1)/r! |
Ω |
0.054760167765433 |
Real period |
R |
4.8542848298391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63240f1 |
Quadratic twists by: -4 |