Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344bz |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73801728 |
Modular degree for the optimal curve |
Δ |
2.0476605538772E+26 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -4 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3656557083,-85102523639350] |
[a1,a2,a3,a4,a6] |
Generators |
[-70931896663285799527353873685:96905488930147805139551453184:2027714962904268187898375] |
Generators of the group modulo torsion |
j |
1810728381321177064113521881/68575737642171236352 |
j-invariant |
L |
8.6278211774615 |
L(r)(E,1)/r! |
Ω |
0.019414779037728 |
Real period |
R |
37.032875664675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9918q1 26448o1 |
Quadratic twists by: -4 -3 |