Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kb |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
177557312000250000 = 24 · 36 · 56 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-167238,-16804908] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:3204:1] |
Generators of the group modulo torsion |
j |
281397674377/96589584 |
j-invariant |
L |
12.725503577945 |
L(r)(E,1)/r! |
Ω |
0.24267804948047 |
Real period |
R |
1.0924542139531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003206 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3822d2 13650bw2 |
Quadratic twists by: 5 -7 |