Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280y |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
950217615360000 = 214 · 32 · 54 · 134 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80616,8711280] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:3600:1] |
Generators of the group modulo torsion |
j |
14145975058083049/231986722500 |
j-invariant |
L |
4.372473937843 |
L(r)(E,1)/r! |
Ω |
0.49678961439697 |
Real period |
R |
2.2003650092321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999245 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7410i2 |
Quadratic twists by: -4 |