Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162r |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
9.3538584266092E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4238588895,-106212522853963] |
[a1,a2,a3,a4,a6] |
Generators |
[-5879624608087477271629060992453558974586713590937554832926700942033297461165:2935773033715288054437594549186308614073944129140740978459942189343908216754:156424878032952138555340774159023663218285068147203254979299793862821625] |
Generators of the group modulo torsion |
j |
98191033604529537629349729/10906239337336 |
j-invariant |
L |
4.2250510337668 |
L(r)(E,1)/r! |
Ω |
0.018710880741225 |
Real period |
R |
112.90358514385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018s2 5166r2 |
Quadratic twists by: -3 -7 |