Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510h |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3973134375000 = -1 · 23 · 33 · 58 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1674,99316] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:327:1] |
Generators of the group modulo torsion |
j |
-518342813451289/3973134375000 |
j-invariant |
L |
3.5554941887298 |
L(r)(E,1)/r! |
Ω |
0.67170347370567 |
Real period |
R |
0.88220827788655 |
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 |
52080ba2 19530cf2 32550bn2 45570r2 |
Quadratic twists by: -4 -3 5 -7 |