Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dj |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-398235200000000 = -1 · 212 · 58 · 114 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11- -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16792,-475088] |
[a1,a2,a3,a4,a6] |
Generators |
[42:550:1] |
Generators of the group modulo torsion |
j |
327254135/248897 |
j-invariant |
L |
2.5387815463539 |
L(r)(E,1)/r! |
Ω |
0.29777742725656 |
Real period |
R |
0.35524037342745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675o1 74800bv1 |
Quadratic twists by: -4 5 |