Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12342g |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
2787915079876608 = 228 · 33 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1021276,397155482] |
[a1,a2,a3,a4,a6] |
j |
88506348541062171875/2094601863168 |
j-invariant |
L |
2.5182024424384 |
L(r)(E,1)/r! |
Ω |
0.41970040707307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bm1 37026w1 12342z1 |
Quadratic twists by: -4 -3 -11 |