Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410c |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-21109616080174080 = -1 · 210 · 316 · 5 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,66465,2299981] |
[a1,a2,a3,a4,a6] |
Generators |
[19270:493357:125] |
Generators of the group modulo torsion |
j |
44542186868244239/28956949355520 |
j-invariant |
L |
6.0167234620972 |
L(r)(E,1)/r! |
Ω |
0.23934425980752 |
Real period |
R |
6.2845913459475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470be1 |
Quadratic twists by: -3 |