Atkin-Lehner |
2+ 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bd |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-69600748428288 = -1 · 210 · 33 · 72 · 116 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9240,213444] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:204:1] [0:462:1] |
Generators of the group modulo torsion |
j |
85190794143836/67969480887 |
j-invariant |
L |
10.98873946439 |
L(r)(E,1)/r! |
Ω |
0.39712591821057 |
Real period |
R |
0.76862966875359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592n1 |
Quadratic twists by: -4 |