Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216s |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1912140726272 = 219 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1037036,-406479696] |
[a1,a2,a3,a4,a6] |
Generators |
[1176:588:1] |
Generators of the group modulo torsion |
j |
3999236143617/62 |
j-invariant |
L |
5.7882844299124 |
L(r)(E,1)/r! |
Ω |
0.14960671839971 |
Real period |
R |
4.8362504098963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000030694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bn4 3038i3 1984b4 |
Quadratic twists by: -4 8 -7 |