Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2130j |
Isogeny class |
Conductor |
2130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6697485202500 = 22 · 312 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12255,-512223] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4296:1] |
Generators of the group modulo torsion |
j |
203547547380881521/6697485202500 |
j-invariant |
L |
3.9165660612991 |
L(r)(E,1)/r! |
Ω |
0.45467060336976 |
Real period |
R |
4.3070368221211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17040z2 68160t2 6390e2 10650g2 |
Quadratic twists by: -4 8 -3 5 |