Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
46620r |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
126000 |
Modular degree for the optimal curve |
Δ |
-22666760550000 = -1 · 24 · 36 · 55 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43833,3539657] |
[a1,a2,a3,a4,a6] |
j |
-798508948769536/1943309375 |
j-invariant |
L |
2.0363661833972 |
L(r)(E,1)/r! |
Ω |
0.67878872787008 |
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 |
5180d1 |
Quadratic twists by: -3 |