Atkin-Lehner |
2- 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630p |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
8139801600 = 210 · 32 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-896,8993] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:79:1] [-19:149:1] |
Generators of the group modulo torsion |
j |
79556933449729/8139801600 |
j-invariant |
L |
8.7979835530188 |
L(r)(E,1)/r! |
Ω |
1.2729685632423 |
Real period |
R |
0.23037970214051 |
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 |
64890bq1 108150bf1 |
Quadratic twists by: -3 5 |