Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2350c |
Isogeny class |
Conductor |
2350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
811117187500 = 22 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5+ -5 -3 -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4400,-105500] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:70:1] [-45:85:1] |
Generators of the group modulo torsion |
j |
603136942849/51911500 |
j-invariant |
L |
2.2901739557259 |
L(r)(E,1)/r! |
Ω |
0.58938568369418 |
Real period |
R |
0.16190402560146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800t2 75200u2 21150cc2 470d2 |
Quadratic twists by: -4 8 -3 5 |