Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288d |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-23884170082304 = -1 · 211 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,233456] |
[a1,a2,a3,a4,a6] |
j |
34 |
j-invariant |
L |
1.0149422506195 |
L(r)(E,1)/r! |
Ω |
0.50747109138947 |
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 |
113288g1 113288p1 |
Quadratic twists by: -7 17 |