Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512q |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
151200 |
Modular degree for the optimal curve |
Δ |
-2166337861632 = -1 · 211 · 35 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -3 5 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9816,377712] |
[a1,a2,a3,a4,a6] |
j |
-434163602/8991 |
j-invariant |
L |
4.1171804422387 |
L(r)(E,1)/r! |
Ω |
0.82343608838259 |
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 |
87024w1 888a1 |
Quadratic twists by: -4 -7 |