Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bv |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6661619712 = 214 · 33 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6385,198481] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:592:1] [29:192:1] |
Generators of the group modulo torsion |
j |
1757334737104/406593 |
j-invariant |
L |
7.0160183330348 |
L(r)(E,1)/r! |
Ω |
1.2987543271259 |
Real period |
R |
2.7010567688801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bn2 19536q2 |
Quadratic twists by: -4 8 |