Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591q |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-9643800790701 = -1 · 36 · 7 · 113 · 175 |
Discriminant |
Eigenvalues |
1 3- 1 7- 11+ 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24129,-1444338] |
[a1,a2,a3,a4,a6] |
Generators |
[59447934:593640874:250047] |
Generators of the group modulo torsion |
j |
-1601202365099/9938999 |
j-invariant |
L |
9.8624776312106 |
L(r)(E,1)/r! |
Ω |
0.19145767066507 |
Real period |
R |
12.878143803989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999699918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14399b1 129591g1 |
Quadratic twists by: -3 -11 |