Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510u |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
7061735520 = 25 · 38 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5921,174825] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:571:1] |
Generators of the group modulo torsion |
j |
22956912537341329/7061735520 |
j-invariant |
L |
6.3912682489371 |
L(r)(E,1)/r! |
Ω |
1.298829494379 |
Real period |
R |
0.2460395408557 |
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 |
52080bd2 19530v2 32550l2 45570cl2 |
Quadratic twists by: -4 -3 5 -7 |