Atkin-Lehner |
11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120263g |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-782094746705073659 = -1 · 11 · 132 · 2910 |
Discriminant |
Eigenvalues |
0 -3 3 2 11- 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,112694,39979668] |
[a1,a2,a3,a4,a6] |
Generators |
[37874:2612983:8] |
Generators of the group modulo torsion |
j |
266095853568/1314835379 |
j-invariant |
L |
4.277095930995 |
L(r)(E,1)/r! |
Ω |
0.20374125596155 |
Real period |
R |
5.2481956555715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147a1 |
Quadratic twists by: 29 |