Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476i |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-671534246656 = -1 · 28 · 73 · 133 · 592 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -6 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4277,113239] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:273:1] [-14:413:1] |
Generators of the group modulo torsion |
j |
-33806719909888/2623180651 |
j-invariant |
L |
4.620096199336 |
L(r)(E,1)/r! |
Ω |
0.8904159391912 |
Real period |
R |
0.86478240037133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85904r1 |
Quadratic twists by: -4 |