Atkin-Lehner |
2- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92414y |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
8059707357184 = 211 · 73 · 234 · 41 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30962,2079615] |
[a1,a2,a3,a4,a6] |
Generators |
[2307:-8159:27] [-183:1379:1] |
Generators of the group modulo torsion |
j |
9570122296636231/23497689088 |
j-invariant |
L |
11.711820411742 |
L(r)(E,1)/r! |
Ω |
0.73992063268224 |
Real period |
R |
0.17986911358172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92414z1 |
Quadratic twists by: -7 |