Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200r |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-6097006080000 = -1 · 212 · 39 · 54 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 11- -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113400,14698800] |
[a1,a2,a3,a4,a6] |
Generators |
[196:44:1] |
Generators of the group modulo torsion |
j |
-3200601600/121 |
j-invariant |
L |
7.6237505764188 |
L(r)(E,1)/r! |
Ω |
0.70766693184512 |
Real period |
R |
1.3466346656265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200n1 79200cz1 79200cv1 |
Quadratic twists by: -4 -3 5 |