Atkin-Lehner |
2+ 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110p |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1917315562500 = 22 · 37 · 56 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8640,-299700] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:75:1] |
Generators of the group modulo torsion |
j |
97851093949441/2630062500 |
j-invariant |
L |
5.1064976666936 |
L(r)(E,1)/r! |
Ω |
0.4959996580045 |
Real period |
R |
2.5738413279701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370bm1 |
Quadratic twists by: -3 |