Atkin-Lehner |
2+ 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610q |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15933103436640000 = 28 · 3 · 54 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8996887,10383163861] |
[a1,a2,a3,a4,a6] |
j |
16685547865377876289/3300960000 |
j-invariant |
L |
2.4799316234084 |
L(r)(E,1)/r! |
Ω |
0.30999142130605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970i2 |
Quadratic twists by: 13 |