Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
210b |
Isogeny class |
Conductor |
210 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
8930250000 = 24 · 36 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-578,2756] |
[a1,a2,a3,a4,a6] |
j |
21302308926361/8930250000 |
j-invariant |
L |
1.1766630746428 |
L(r)(E,1)/r! |
Ω |
1.1766630746428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
1680m2 6720f2 630i2 1050k2 |
Quadratic twists by: -4 8 -3 5 |