Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310g |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
720291785342976000 = 236 · 32 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-305749,50640416] |
[a1,a2,a3,a4,a6] |
Generators |
[256520:2341939:512] |
Generators of the group modulo torsion |
j |
3160944030998056790089/720291785342976000 |
j-invariant |
L |
2.6835115646643 |
L(r)(E,1)/r! |
Ω |
0.26881963905879 |
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 |
18480bn3 73920bt3 6930bl3 11550bk3 |
Quadratic twists by: -4 8 -3 5 |