Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2610g |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
60886080 = 26 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,85] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:14:1] |
Generators of the group modulo torsion |
j |
148035889/83520 |
j-invariant |
L |
2.4867994645482 |
L(r)(E,1)/r! |
Ω |
1.6996842617926 |
Real period |
R |
0.73154747633112 |
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 |
20880cj1 83520bq1 870e1 13050be1 |
Quadratic twists by: -4 8 -3 5 |