Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254cp |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7702715328 = 26 · 3 · 76 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17110017,-27242471607] |
[a1,a2,a3,a4,a6] |
Generators |
[-2047625630:1023797521:857375] |
Generators of the group modulo torsion |
j |
4708545773991716929537/65472 |
j-invariant |
L |
15.57640653387 |
L(r)(E,1)/r! |
Ω |
0.07423127913725 |
Real period |
R |
8.7431733129911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000010431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046g4 |
Quadratic twists by: -7 |