Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
102240p |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1509292440000 = -1 · 26 · 312 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3837,-108916] |
[a1,a2,a3,a4,a6] |
Generators |
[83:380:1] |
Generators of the group modulo torsion |
j |
-133903400896/32349375 |
j-invariant |
L |
7.7516268050377 |
L(r)(E,1)/r! |
Ω |
0.29947762980976 |
Real period |
R |
3.2354782273169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bq1 34080z1 |
Quadratic twists by: -4 -3 |