Atkin-Lehner |
2- 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150cx |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
638400 |
Modular degree for the optimal curve |
Δ |
-2092230000000000 = -1 · 210 · 36 · 510 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10195,2162197] |
[a1,a2,a3,a4,a6] |
j |
16462575/293888 |
j-invariant |
L |
3.4608107456879 |
L(r)(E,1)/r! |
Ω |
0.34608107656499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350c1 129150by1 |
Quadratic twists by: -3 5 |