Atkin-Lehner |
2- 5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650q |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.324425952076E+36 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1568062444463,-753745759819262219] |
[a1,a2,a3,a4,a6] |
Generators |
[94197867842506619382213837569070207141979397061:163722667124490187869594999596031847356673647511918:26702354913639033389292651151807799028831] |
Generators of the group modulo torsion |
j |
27289384880214303492507288545825562409/84763260932861328125000000000000 |
j-invariant |
L |
15.165413006018 |
L(r)(E,1)/r! |
Ω |
0.0042671687057502 |
Real period |
R |
74.041155885378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22330a4 |
Quadratic twists by: 5 |