Atkin-Lehner |
2+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
95942t |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19474560 |
Modular degree for the optimal curve |
Δ |
7.5570752746429E+23 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23787157,15647911285] |
[a1,a2,a3,a4,a6] |
Generators |
[-5023:94048:1] |
Generators of the group modulo torsion |
j |
5269518569577677625/2675305288302592 |
j-invariant |
L |
3.0138296483428 |
L(r)(E,1)/r! |
Ω |
0.07940830838811 |
Real period |
R |
3.7953580704212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942f1 |
Quadratic twists by: -7 |