Atkin-Lehner |
2- 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600cw |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-23731200000000 = -1 · 216 · 32 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -6 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276208,55781588] |
[a1,a2,a3,a4,a6] |
Generators |
[308:-150:1] [-142:9600:1] |
Generators of the group modulo torsion |
j |
-1456511980945/14832 |
j-invariant |
L |
11.893802758009 |
L(r)(E,1)/r! |
Ω |
0.60994093748012 |
Real period |
R |
0.81249689020594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450bc1 123600bh1 |
Quadratic twists by: -4 5 |