Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
108900bk |
Isogeny class |
Conductor |
108900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-105850800 = -1 · 24 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,6545] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:36:1] [16:9:1] |
Generators of the group modulo torsion |
j |
-901120/3 |
j-invariant |
L |
11.987309226736 |
L(r)(E,1)/r! |
Ω |
1.8907891531869 |
Real period |
R |
0.52832037566726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36300e1 108900cz1 108900bl1 |
Quadratic twists by: -3 5 -11 |