Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400bu |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1783296 |
Modular degree for the optimal curve |
Δ |
-1492276386860000000 = -1 · 28 · 57 · 79 · 432 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68467,-58344937] |
[a1,a2,a3,a4,a6] |
Generators |
[623:-15050:1] [1463:56350:1] |
Generators of the group modulo torsion |
j |
8873629147136/373069096715 |
j-invariant |
L |
13.292417636224 |
L(r)(E,1)/r! |
Ω |
0.12891526104287 |
Real period |
R |
0.71603978505284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30100a1 24080g1 |
Quadratic twists by: -4 5 |