Atkin-Lehner |
41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89093b |
Isogeny class |
Conductor |
89093 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.3690964945318E+23 |
Discriminant |
Eigenvalues |
2 1 4 -2 0 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27545426,-52729116977] |
[a1,a2,a3,a4,a6] |
Generators |
[-57429941941813758016283925331242744151652058145096442799947995959039564283967626799303487641169561493030:778536505340350615565819697375882641808109919416166087325113707054044196017576506227016871484804467538937:22191495856685608194850281978037332717239034273336628288845978180042579940981213189877373499919317000] |
Generators of the group modulo torsion |
j |
7060208021504/418195493 |
j-invariant |
L |
20.705163369085 |
L(r)(E,1)/r! |
Ω |
0.066144237711678 |
Real period |
R |
156.51524671989 |
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 |
89093e2 |
Quadratic twists by: 41 |