Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
58464f |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
415291774464 = 29 · 39 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13851,-626670] |
[a1,a2,a3,a4,a6] |
Generators |
[418:8162:1] |
Generators of the group modulo torsion |
j |
29161230552/41209 |
j-invariant |
L |
4.5887398952617 |
L(r)(E,1)/r! |
Ω |
0.44011495756489 |
Real period |
R |
5.2131151379091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464r2 116928m2 58464s2 |
Quadratic twists by: -4 8 -3 |