Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600s |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1738618750000 = -1 · 24 · 58 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4883,-144238] |
[a1,a2,a3,a4,a6] |
Generators |
[180422:1718100:1331] |
Generators of the group modulo torsion |
j |
-51514894336/6954475 |
j-invariant |
L |
9.4771654222731 |
L(r)(E,1)/r! |
Ω |
0.28342603427541 |
Real period |
R |
8.3594697303004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800q1 16720q1 |
Quadratic twists by: -4 5 |