Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600bo |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-387500000000000000 = -1 · 214 · 517 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 0 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-720133,236875363] |
[a1,a2,a3,a4,a6] |
j |
-161332732109824/1513671875 |
j-invariant |
L |
1.2078914081346 |
L(r)(E,1)/r! |
Ω |
0.30197285210449 |
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 |
49600v1 12400d1 9920ba1 |
Quadratic twists by: -4 8 5 |