Atkin-Lehner |
2- 3- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76212h |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-2341470114153216 = -1 · 28 · 311 · 294 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 4 0 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10704,2366804] |
[a1,a2,a3,a4,a6] |
j |
-726765862912/12546457659 |
j-invariant |
L |
3.1039231515356 |
L(r)(E,1)/r! |
Ω |
0.38799039776579 |
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 |
25404c1 |
Quadratic twists by: -3 |