Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692m |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-10840809689136 = -1 · 24 · 314 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -6 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74545,-7860364] |
[a1,a2,a3,a4,a6] |
j |
-1192539993358336/282195171 |
j-invariant |
L |
2.0224896798973 |
L(r)(E,1)/r! |
Ω |
0.14446354856464 |
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 |
104076b1 34692f1 |
Quadratic twists by: -3 -7 |