Atkin-Lehner |
2+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71390a |
Isogeny class |
Conductor |
71390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2597760 |
Modular degree for the optimal curve |
Δ |
-2479477446809031680 = -1 · 210 · 5 · 119 · 593 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 11+ -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,250145,58424141] |
[a1,a2,a3,a4,a6] |
Generators |
[-125533590:22179152603:3176523] |
Generators of the group modulo torsion |
j |
734114916261/1051540480 |
j-invariant |
L |
7.7499385671523 |
L(r)(E,1)/r! |
Ω |
0.17433456627366 |
Real period |
R |
11.113600031631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71390g1 |
Quadratic twists by: -11 |