Atkin-Lehner |
2+ 3- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
70290j |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
8070607477350000 = 24 · 37 · 55 · 114 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7198389,7435431045] |
[a1,a2,a3,a4,a6] |
Generators |
[-3074:24087:1] [1326:-15513:1] |
Generators of the group modulo torsion |
j |
56585108666854310030929/11070792150000 |
j-invariant |
L |
7.3165547976763 |
L(r)(E,1)/r! |
Ω |
0.32792892903466 |
Real period |
R |
0.55778509837952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430h2 |
Quadratic twists by: -3 |