Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352w |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
291448228032 = 26 · 39 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26404,-1660030] |
[a1,a2,a3,a4,a6] |
Generators |
[1829:77922:1] |
Generators of the group modulo torsion |
j |
31810416711462208/4553878563 |
j-invariant |
L |
6.8508005477134 |
L(r)(E,1)/r! |
Ω |
0.37452816577577 |
Real period |
R |
2.0324240748731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352c1 46176s2 |
Quadratic twists by: -4 8 |