Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-267581724480 = -1 · 26 · 310 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1360,16170] |
[a1,a2,a3,a4,a6] |
Generators |
[73:714:1] |
Generators of the group modulo torsion |
j |
4343512642496/4180964445 |
j-invariant |
L |
7.7725650924629 |
L(r)(E,1)/r! |
Ω |
0.6435828278693 |
Real period |
R |
1.2077023715903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hz1 57120bk2 |
Quadratic twists by: -4 8 |