Atkin-Lehner |
2- 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650dh |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-14260492968750 = -1 · 2 · 36 · 58 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1095037888,13947263020142] |
[a1,a2,a3,a4,a6] |
j |
-371750118104675216968755745/36506862 |
j-invariant |
L |
3.2906689392162 |
L(r)(E,1)/r! |
Ω |
0.18281494353126 |
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 |
76650n1 |
Quadratic twists by: 5 |