Atkin-Lehner |
2+ 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
14070a |
Isogeny class |
Conductor |
14070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
3088646400 = 28 · 3 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10027,-390659] |
[a1,a2,a3,a4,a6] |
j |
111507590364239161/3088646400 |
j-invariant |
L |
0.95418344845179 |
L(r)(E,1)/r! |
Ω |
0.4770917242259 |
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 |
112560ct1 42210q1 70350dc1 98490r1 |
Quadratic twists by: -4 -3 5 -7 |