Atkin-Lehner |
2- 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630p |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
599106355680 = 25 · 3 · 5 · 76 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3296,-63967] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:113:1] [-23:29:1] |
Generators of the group modulo torsion |
j |
3959985141923329/599106355680 |
j-invariant |
L |
8.7979835530188 |
L(r)(E,1)/r! |
Ω |
0.63648428162116 |
Real period |
R |
0.92151880856205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890bq2 108150bf2 |
Quadratic twists by: -3 5 |