Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14490bs |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
99555352888320 = 210 · 37 · 5 · 75 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49478,4221141] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:2967:1] |
Generators of the group modulo torsion |
j |
18374873741826841/136564270080 |
j-invariant |
L |
6.8119651950198 |
L(r)(E,1)/r! |
Ω |
0.6016534358752 |
Real period |
R |
0.11322074783984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920cv1 4830f1 72450y1 101430fh1 |
Quadratic twists by: -4 -3 5 -7 |