Atkin-Lehner |
2+ 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920g |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
1375564051602000 = 24 · 310 · 53 · 132 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2870655,1873015722] |
[a1,a2,a3,a4,a6] |
j |
163510966264416864434176/85972753225125 |
j-invariant |
L |
1.1832364215583 |
L(r)(E,1)/r! |
Ω |
0.39441189141611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960d1 |
Quadratic twists by: -4 |