Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752z |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
2190812878722334464 = 28 · 39 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -1 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13284567,-18636572718] |
[a1,a2,a3,a4,a6] |
j |
51455839111023712752/434784474293 |
j-invariant |
L |
3.9539659439948 |
L(r)(E,1)/r! |
Ω |
0.079079319601045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19188c1 76752bh1 |
Quadratic twists by: -4 -3 |