Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640be |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-194703264000 = -1 · 28 · 35 · 53 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,364,20940] |
[a1,a2,a3,a4,a6] |
j |
20777545136/760559625 |
j-invariant |
L |
2.281776754423 |
L(r)(E,1)/r! |
Ω |
0.76059243961736 |
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 |
30660o1 |
Quadratic twists by: -4 |