Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210z |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
14142658320 = 24 · 36 · 5 · 74 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7735,258557] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:688:1] |
Generators of the group modulo torsion |
j |
51180930268781041/14142658320 |
j-invariant |
L |
7.1094393140747 |
L(r)(E,1)/r! |
Ω |
1.2235759199423 |
Real period |
R |
2.9051892891165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63630p1 106050p1 |
Quadratic twists by: -3 5 |