Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200cj |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-7451896320000 = -1 · 212 · 37 · 54 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,282400] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1980:1] [-94:396:1] |
Generators of the group modulo torsion |
j |
-25000000/3993 |
j-invariant |
L |
10.025950332173 |
L(r)(E,1)/r! |
Ω |
0.71634428028472 |
Real period |
R |
0.097194403588385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200ek1 26400ce1 79200ee1 |
Quadratic twists by: -4 -3 5 |