Atkin-Lehner |
2+ 3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210h |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9444986752320 = -1 · 26 · 310 · 5 · 72 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1872,150336] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:424:1] |
Generators of the group modulo torsion |
j |
-726112121784841/9444986752320 |
j-invariant |
L |
2.9871670872111 |
L(r)(E,1)/r! |
Ω |
0.61769023294438 |
Real period |
R |
1.2090069293196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bd2 106050cc2 |
Quadratic twists by: -3 5 |