Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bt |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
824320 |
Modular degree for the optimal curve |
Δ |
-22390898688000000 = -1 · 223 · 35 · 56 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,60637,-4310719] |
[a1,a2,a3,a4,a6] |
Generators |
[515:12542:1] |
Generators of the group modulo torsion |
j |
1578034006978967/1433017516032 |
j-invariant |
L |
9.2745773878166 |
L(r)(E,1)/r! |
Ω |
0.209027086799 |
Real period |
R |
0.96456995349892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218d1 |
Quadratic twists by: 5 |