Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gy |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2510101440 = 26 · 33 · 5 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21796,1231310] |
[a1,a2,a3,a4,a6] |
Generators |
[89:66:1] |
Generators of the group modulo torsion |
j |
17893449053367616/39220335 |
j-invariant |
L |
7.566334723612 |
L(r)(E,1)/r! |
Ω |
1.2468564102862 |
Real period |
R |
1.0113881411006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920eb1 36960bm4 |
Quadratic twists by: -4 8 |