Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360f |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2249113600 = -1 · 214 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,292,1232] |
[a1,a2,a3,a4,a6] |
Generators |
[13:85:1] [76:680:1] |
Generators of the group modulo torsion |
j |
168055344/137275 |
j-invariant |
L |
10.403220489601 |
L(r)(E,1)/r! |
Ω |
0.9425867521521 |
Real period |
R |
5.5184419183906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bj2 12920i2 |
Quadratic twists by: -4 8 |