Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
124600b |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-31150000000000 = -1 · 210 · 511 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4592,238812] |
[a1,a2,a3,a4,a6] |
Generators |
[2694:35000:27] |
Generators of the group modulo torsion |
j |
669136604/1946875 |
j-invariant |
L |
9.6875716599055 |
L(r)(E,1)/r! |
Ω |
0.46398098525346 |
Real period |
R |
2.6099053657987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999995414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24920g1 |
Quadratic twists by: 5 |