Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41925i |
Isogeny class |
Conductor |
41925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-468749668359375 = -1 · 33 · 58 · 13 · 434 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10838,1127667] |
[a1,a2,a3,a4,a6] |
j |
-9010598335129/29999978775 |
j-invariant |
L |
2.7678263346903 |
L(r)(E,1)/r! |
Ω |
0.46130438909978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125775p1 8385c1 |
Quadratic twists by: -3 5 |