Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225cb |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-175714459470703125 = -1 · 38 · 59 · 72 · 234 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254367,53402166] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:10278:1] |
Generators of the group modulo torsion |
j |
-1278348920477/123409881 |
j-invariant |
L |
6.3055472227832 |
L(r)(E,1)/r! |
Ω |
0.31339030403985 |
Real period |
R |
2.5150535695821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12075w2 36225cj2 |
Quadratic twists by: -3 5 |