Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280bo |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3267148101350676480 = 211 · 318 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-765723,-242798038] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:1078:1] |
Generators of the group modulo torsion |
j |
282678688658/18600435 |
j-invariant |
L |
5.612856288784 |
L(r)(E,1)/r! |
Ω |
0.16205875289651 |
Real period |
R |
4.3293374998758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640ch3 11760q3 5040r3 |
Quadratic twists by: -4 -3 -7 |