Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10150h |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-14473919488000000 = -1 · 216 · 56 · 75 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53113,-7467783] |
[a1,a2,a3,a4,a6] |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
2.4271574735032 |
L(r)(E,1)/r! |
Ω |
0.15169734209395 |
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 |
81200bo1 91350bn1 406d1 71050bu1 |
Quadratic twists by: -4 -3 5 -7 |