Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630do |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6.5759246236954E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1090445,-1153214623] |
[a1,a2,a3,a4,a6] |
j |
1218840126444091871/5589443704320000 |
j-invariant |
L |
7.8327688328045 |
L(r)(E,1)/r! |
Ω |
0.081591342008885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127890br1 6090s1 |
Quadratic twists by: -3 -7 |