Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240l |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1060024320 = -1 · 212 · 36 · 5 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 -5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,34256] |
[a1,a2,a3,a4,a6] |
Generators |
[25:9:1] |
Generators of the group modulo torsion |
j |
-292754944/355 |
j-invariant |
L |
8.0257420100973 |
L(r)(E,1)/r! |
Ω |
1.5493824204628 |
Real period |
R |
1.29499049277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240bp1 11360l1 |
Quadratic twists by: -4 -3 |