Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770s |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18278470 = 2 · 5 · 73 · 732 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-363,2741] |
[a1,a2,a3,a4,a6] |
Generators |
[94:-45:8] |
Generators of the group modulo torsion |
j |
15382515303/53290 |
j-invariant |
L |
6.8710381516565 |
L(r)(E,1)/r! |
Ω |
2.1891547361341 |
Real period |
R |
3.1386717614078 |
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 |
35770bd2 |
Quadratic twists by: -7 |