Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
29880d |
Isogeny class |
Conductor |
29880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
10455609600 = 28 · 39 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,1674] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:80:1] |
Generators of the group modulo torsion |
j |
4000752/2075 |
j-invariant |
L |
4.5141328501896 |
L(r)(E,1)/r! |
Ω |
1.1303290069563 |
Real period |
R |
1.996822527958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760f1 29880h1 |
Quadratic twists by: -4 -3 |