Atkin-Lehner |
2+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45662h |
Isogeny class |
Conductor |
45662 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-282155436973568 = -1 · 29 · 178 · 79 |
Discriminant |
Eigenvalues |
2+ 1 0 2 6 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9820371,-11845950930] |
[a1,a2,a3,a4,a6] |
Generators |
[1767496842317656303580441109142063394254105286928816780317273825440301213166340038350300368110:-314638176684167213586514829278153844917825116389647251976940343590261956105756495411611903065723:55527583039734239261847083530697719500654256908799052906664204626297772841649293452069000] |
Generators of the group modulo torsion |
j |
-15014675927571625/40448 |
j-invariant |
L |
6.2535066261876 |
L(r)(E,1)/r! |
Ω |
0.042642002418395 |
Real period |
R |
146.65133604256 |
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 |
45662b2 |
Quadratic twists by: 17 |