Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840d |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
298593750000000000 = 210 · 3 · 516 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170976,-6962640] |
[a1,a2,a3,a4,a6] |
Generators |
[9962:330771:8] |
Generators of the group modulo torsion |
j |
539798599042964356/291595458984375 |
j-invariant |
L |
3.8463092013279 |
L(r)(E,1)/r! |
Ω |
0.25013389831831 |
Real period |
R |
7.68850049351 |
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 |
10920p3 87360hb4 65520bp4 109200bm4 |
Quadratic twists by: -4 8 -3 5 |