Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310g |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
56330588160 = 212 · 36 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-286534,59011352] |
[a1,a2,a3,a4,a6] |
Generators |
[334:605:1] |
Generators of the group modulo torsion |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
2.6835115646643 |
L(r)(E,1)/r! |
Ω |
0.80645891717638 |
Real period |
R |
3.327524201803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18480bn1 73920bt1 6930bl1 11550bk1 |
Quadratic twists by: -4 8 -3 5 |