Atkin-Lehner |
2- 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270br |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
52205887909105920 = 28 · 38 · 5 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96500,-3545035] |
[a1,a2,a3,a4,a6] |
j |
56098315742041/29468862720 |
j-invariant |
L |
2.2976125518751 |
L(r)(E,1)/r! |
Ω |
0.28720156281118 |
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 |
9570e1 |
Quadratic twists by: -11 |