Atkin-Lehner |
2+ 3+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190b |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
98577997875450000 = 24 · 310 · 55 · 293 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1599813,778033917] |
[a1,a2,a3,a4,a6] |
Generators |
[638:3871:1] |
Generators of the group modulo torsion |
j |
452826465020303232690649/98577997875450000 |
j-invariant |
L |
3.3874292698925 |
L(r)(E,1)/r! |
Ω |
0.32774316714566 |
Real period |
R |
5.16781066619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570y1 |
Quadratic twists by: -3 |