Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312j |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
339962941591056 = 24 · 36 · 72 · 296 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87003,9837639] |
[a1,a2,a3,a4,a6] |
Generators |
[50:24389:8] |
Generators of the group modulo torsion |
j |
127433263474944/594823321 |
j-invariant |
L |
4.0835664677976 |
L(r)(E,1)/r! |
Ω |
0.54306356745642 |
Real period |
R |
1.8798749879731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368o1 102312g1 |
Quadratic twists by: -3 -7 |