Atkin-Lehner |
2- 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184bw |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9006913327104 = 212 · 32 · 74 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8904,-286416] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:70:1] [-60:168:1] |
Generators of the group modulo torsion |
j |
19061979249097/2198953449 |
j-invariant |
L |
9.3378874672618 |
L(r)(E,1)/r! |
Ω |
0.49516783592987 |
Real period |
R |
2.3572531340226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002526 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699f2 |
Quadratic twists by: -4 |