Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240ba |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-60371697600 = -1 · 26 · 312 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,447,-11248] |
[a1,a2,a3,a4,a6] |
Generators |
[31:180:1] |
Generators of the group modulo torsion |
j |
211708736/1293975 |
j-invariant |
L |
3.6044665159221 |
L(r)(E,1)/r! |
Ω |
0.554870512725 |
Real period |
R |
1.6240124521611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240be1 34080l1 |
Quadratic twists by: -4 -3 |