Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352i |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-671851181446848 = -1 · 26 · 317 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -3 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65343,-6527151] |
[a1,a2,a3,a4,a6] |
j |
-482111614030528000/10497674710107 |
j-invariant |
L |
0.44733274916572 |
L(r)(E,1)/r! |
Ω |
0.14911094094234 |
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 |
92352bb1 46176x1 |
Quadratic twists by: -4 8 |