Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hj |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-1.669054464E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,635592,-24208812] |
[a1,a2,a3,a4,a6] |
Generators |
[663:26250:1] |
Generators of the group modulo torsion |
j |
443688652450511/260789760000 |
j-invariant |
L |
8.6419025095809 |
L(r)(E,1)/r! |
Ω |
0.12903067402555 |
Real period |
R |
1.8604324074301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550c1 18480bm1 |
Quadratic twists by: -4 5 |