Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cu |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-10401873920000 = -1 · 229 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 5 5 7 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9100,368400] |
[a1,a2,a3,a4,a6] |
j |
-508660425/63488 |
j-invariant |
L |
4.2066085665838 |
L(r)(E,1)/r! |
Ω |
0.70110142780584 |
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 |
49600bd1 12400bb1 49600cc1 |
Quadratic twists by: -4 8 5 |