Atkin-Lehner |
2- 3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350bp |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.685049533844E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1512843063,22646981750781] |
[a1,a2,a3,a4,a6] |
Generators |
[1231217210247975:-4859577037888258:54053028541] |
Generators of the group modulo torsion |
j |
24506727441524131611064035241/1078431701660156250000 |
j-invariant |
L |
7.6065980564159 |
L(r)(E,1)/r! |
Ω |
0.065261645463597 |
Real period |
R |
14.569426646828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470o4 |
Quadratic twists by: 5 |