Atkin-Lehner |
3- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339k |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2108808559473 = 3 · 76 · 113 · 672 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5171,124457] |
[a1,a2,a3,a4,a6] |
Generators |
[3078323:62892801:6859] |
Generators of the group modulo torsion |
j |
129938649625/17924577 |
j-invariant |
L |
7.9984866140182 |
L(r)(E,1)/r! |
Ω |
0.79354185894621 |
Real period |
R |
10.079476586437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2211a1 |
Quadratic twists by: -7 |