Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300g |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-169959106800 = -1 · 24 · 32 · 52 · 75 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1162,-13083] |
[a1,a2,a3,a4,a6] |
Generators |
[23:159:1] |
Generators of the group modulo torsion |
j |
433419357440/424897767 |
j-invariant |
L |
2.9512721338808 |
L(r)(E,1)/r! |
Ω |
0.55462950799714 |
Real period |
R |
1.3302899001894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111300w1 |
Quadratic twists by: 5 |