Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310g |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
12104550027662400 = 26 · 312 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-286854,58872856] |
[a1,a2,a3,a4,a6] |
Generators |
[-571:6333:1] |
Generators of the group modulo torsion |
j |
2610383204210122997209/12104550027662400 |
j-invariant |
L |
2.6835115646643 |
L(r)(E,1)/r! |
Ω |
0.40322945858819 |
Real period |
R |
1.6637621009015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
12 |
Number of elements in the torsion subgroup |
Twists |
18480bn2 73920bt2 6930bl2 11550bk2 |
Quadratic twists by: -4 8 -3 5 |