Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370b |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
352357057000 = 23 · 53 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 -3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2539,39886] |
[a1,a2,a3,a4,a6] |
Generators |
[14:77:1] |
Generators of the group modulo torsion |
j |
374805361/73000 |
j-invariant |
L |
2.1507015342307 |
L(r)(E,1)/r! |
Ω |
0.9088423901722 |
Real period |
R |
1.1832092614211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000315167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730k1 |
Quadratic twists by: 13 |