Atkin-Lehner |
2+ 5+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950g |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
-127707812500000 = -1 · 25 · 511 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 3 -6 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8875,628125] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:975:1] |
Generators of the group modulo torsion |
j |
-4948632799921/8173300000 |
j-invariant |
L |
6.2206147278367 |
L(r)(E,1)/r! |
Ω |
0.52515001871769 |
Real period |
R |
1.4806756415769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17390g1 |
Quadratic twists by: 5 |