Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200bp |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-242483200000000 = -1 · 224 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-749537] |
[a1,a2,a3,a4,a6] |
j |
-625/2368 |
j-invariant |
L |
1.5131961361517 |
L(r)(E,1)/r! |
Ω |
0.25219935600113 |
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 |
59200dm1 1850p1 59200bb1 |
Quadratic twists by: -4 8 5 |