Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960bb |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
535377600 = 26 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,-5076] |
[a1,a2,a3,a4,a6] |
Generators |
[27380:402724:125] |
Generators of the group modulo torsion |
j |
16003008/425 |
j-invariant |
L |
8.4950262376383 |
L(r)(E,1)/r! |
Ω |
0.97995865595427 |
Real period |
R |
8.6687598359794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bd1 24480x2 48960h1 |
Quadratic twists by: -4 8 -3 |