Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920g |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-216276978355200 = -1 · 210 · 33 · 52 · 74 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8504,637120] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:532:1] |
Generators of the group modulo torsion |
j |
66411370031324/211207986675 |
j-invariant |
L |
5.2307998949 |
L(r)(E,1)/r! |
Ω |
0.396346759934 |
Real period |
R |
1.6496917673085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960n4 127680gl3 95760bp3 |
Quadratic twists by: -4 8 -3 |