Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bb |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
51 |
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] |
Generators |
[150:351:1] |
Generators of the group modulo torsion |
j |
-482111614030528000/10497674710107 |
j-invariant |
L |
9.7355348317208 |
L(r)(E,1)/r! |
Ω |
0.51026842381506 |
Real period |
R |
0.37410278764516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92352i1 46176d1 |
Quadratic twists by: -4 8 |