Atkin-Lehner |
2+ 3+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110b |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-312208593750 = -1 · 2 · 33 · 58 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 2 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,570,26226] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:35:1] [-9:147:1] |
Generators of the group modulo torsion |
j |
757802204613/11563281250 |
j-invariant |
L |
7.1656154053337 |
L(r)(E,1)/r! |
Ω |
0.71859656003252 |
Real period |
R |
4.9858403197924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110bd2 |
Quadratic twists by: -3 |