Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352ba |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-788076008598528 = -1 · 210 · 39 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17907,992691] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2808:1] |
Generators of the group modulo torsion |
j |
620108955392000/769605477147 |
j-invariant |
L |
9.3765513110641 |
L(r)(E,1)/r! |
Ω |
0.3377012734514 |
Real period |
R |
0.7712726572568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bt1 11544a1 |
Quadratic twists by: -4 8 |