Atkin-Lehner |
2+ 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080k |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-19654272000 = -1 · 210 · 33 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-880,12400] |
[a1,a2,a3,a4,a6] |
Generators |
[30:110:1] |
Generators of the group modulo torsion |
j |
-73682642884/19193625 |
j-invariant |
L |
8.1612926125885 |
L(r)(E,1)/r! |
Ω |
1.1588514149441 |
Real period |
R |
0.58688085716592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62040x1 |
Quadratic twists by: -4 |