Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248b |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
443425940407296 = 210 · 39 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26379,-1301130] |
[a1,a2,a3,a4,a6] |
Generators |
[-328321:1985120:4913] |
Generators of the group modulo torsion |
j |
100718081964/22000363 |
j-invariant |
L |
7.2421804758388 |
L(r)(E,1)/r! |
Ω |
0.38043744738527 |
Real period |
R |
9.5182276584964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94248q1 |
Quadratic twists by: -3 |