Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320be |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
207608903137440000 = 28 · 38 · 54 · 76 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3164223,-2166339422] |
[a1,a2,a3,a4,a6] |
j |
18774028269903856336/1112444825625 |
j-invariant |
L |
2.7167242741487 |
L(r)(E,1)/r! |
Ω |
0.11319684645136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440o2 |
Quadratic twists by: -3 |