Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29880a |
Isogeny class |
Conductor |
29880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
57369600 = 210 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,-378] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
7443468/2075 |
j-invariant |
L |
5.1742718420145 |
L(r)(E,1)/r! |
Ω |
1.4637786154795 |
Real period |
R |
1.7674366148325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760c1 29880k1 |
Quadratic twists by: -4 -3 |