Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
29088d |
Isogeny class |
Conductor |
29088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
301584384 = 212 · 36 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 0 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-1424] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:4:1] [-7:9:1] |
Generators of the group modulo torsion |
j |
681472/101 |
j-invariant |
L |
6.7998310730381 |
L(r)(E,1)/r! |
Ω |
1.1961467348526 |
Real period |
R |
1.4211950078759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29088k1 58176bi1 3232d1 |
Quadratic twists by: -4 8 -3 |