Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41574g |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
702000 |
Modular degree for the optimal curve |
Δ |
-1613615792803282944 = -1 · 225 · 35 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -2 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29579,-61150282] |
[a1,a2,a3,a4,a6] |
j |
-592915705201/334302806016 |
j-invariant |
L |
0.59988495515441 |
L(r)(E,1)/r! |
Ω |
0.11997699104933 |
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 |
124722bt1 246b1 |
Quadratic twists by: -3 13 |