Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310g |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7641104625000000000 = 29 · 38 · 512 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25467989,-49471735264] |
[a1,a2,a3,a4,a6] |
Generators |
[-23315580:14993321:8000] |
Generators of the group modulo torsion |
j |
1826870018430810435423307849/7641104625000000000 |
j-invariant |
L |
2.6835115646643 |
L(r)(E,1)/r! |
Ω |
0.067204909764698 |
Real period |
R |
9.9825726054091 |
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 |
18480bn7 73920bt8 6930bl7 11550bk7 |
Quadratic twists by: -4 8 -3 5 |