Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568s |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53402888028672 = 29 · 32 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18984,-937080] |
[a1,a2,a3,a4,a6] |
j |
306182024/21609 |
j-invariant |
L |
1.6341342363811 |
L(r)(E,1)/r! |
Ω |
0.40853372268651 |
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 |
113568bc3 672c2 |
Quadratic twists by: -4 13 |