Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400g |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1316480000 = -1 · 210 · 54 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 11+ -5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3488] |
[a1,a2,a3,a4,a6] |
Generators |
[4:44:1] |
Generators of the group modulo torsion |
j |
-11764900/2057 |
j-invariant |
L |
4.1837047077032 |
L(r)(E,1)/r! |
Ω |
1.4682720303343 |
Real period |
R |
0.71235176814462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800w1 37400k1 |
Quadratic twists by: -4 5 |