Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722bc |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
119569044054260736 = 210 · 33 · 137 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 1 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-554183,-157779137] |
[a1,a2,a3,a4,a6] |
Generators |
[3091:164750:1] |
Generators of the group modulo torsion |
j |
144430427731563/917476352 |
j-invariant |
L |
11.405408756993 |
L(r)(E,1)/r! |
Ω |
0.17504613008049 |
Real period |
R |
0.27148578601714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722a1 9594c1 |
Quadratic twists by: -3 13 |