Atkin-Lehner |
3- 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925r |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-25650833203125 = -1 · 36 · 58 · 133 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 6 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30605,-2067478] |
[a1,a2,a3,a4,a6] |
j |
-278317173889/2251925 |
j-invariant |
L |
3.2470226385943 |
L(r)(E,1)/r! |
Ω |
0.18039014390178 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13325a1 23985r1 |
Quadratic twists by: -3 5 |