Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200cb |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-2794461120000 = -1 · 29 · 38 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 7 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59475,5583350] |
[a1,a2,a3,a4,a6] |
Generators |
[145:90:1] |
Generators of the group modulo torsion |
j |
-99735451400/11979 |
j-invariant |
L |
7.7745924486845 |
L(r)(E,1)/r! |
Ω |
0.77532553057834 |
Real period |
R |
0.83562668658094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200ch1 26400bp1 79200dn1 |
Quadratic twists by: -4 -3 5 |