Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bb |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4478976 |
Modular degree for the optimal curve |
Δ |
-7490973839617205000 = -1 · 23 · 54 · 714 · 472 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 1 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,364208,100819816] |
[a1,a2,a3,a4,a6] |
Generators |
[5973:461068:1] |
Generators of the group modulo torsion |
j |
72661310612775/101875563272 |
j-invariant |
L |
3.1001231207931 |
L(r)(E,1)/r! |
Ω |
0.15876289361776 |
Real period |
R |
4.8816872133287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999028863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cq1 16450h1 |
Quadratic twists by: 5 -7 |