Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bo |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1772928 |
Modular degree for the optimal curve |
Δ |
4755397651480000 = 26 · 54 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1611151,786999298] |
[a1,a2,a3,a4,a6] |
Generators |
[91195:-30148:125] |
Generators of the group modulo torsion |
j |
43573579225/448 |
j-invariant |
L |
5.2867524816954 |
L(r)(E,1)/r! |
Ω |
0.39227127881023 |
Real period |
R |
6.7386432154284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000018645 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
126350cb1 126350dt1 |
Quadratic twists by: 5 -19 |