Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310d |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
192099600 = 24 · 34 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157,301] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:34:1] |
Generators of the group modulo torsion |
j |
432252699481/192099600 |
j-invariant |
L |
2.1799282370778 |
L(r)(E,1)/r! |
Ω |
1.6106402931386 |
Real period |
R |
0.67672721412857 |
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 |
18480cz2 73920cu2 6930bb2 11550ce2 |
Quadratic twists by: -4 8 -3 5 |