Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520x |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-1771200000000000 = -1 · 215 · 33 · 511 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 0 4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39963,3681738] |
[a1,a2,a3,a4,a6] |
j |
-63822564229347/16015625000 |
j-invariant |
L |
3.5867340782173 |
L(r)(E,1)/r! |
Ω |
0.44834175977723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3690m1 118080dn1 29520bg1 |
Quadratic twists by: -4 8 -3 |