Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fe |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1925518179375000 = 23 · 38 · 57 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16463480,25715802147] |
[a1,a2,a3,a4,a6] |
Generators |
[2315:1173:1] |
Generators of the group modulo torsion |
j |
43325247696520145329/169044120 |
j-invariant |
L |
10.917325293159 |
L(r)(E,1)/r! |
Ω |
0.31335937144714 |
Real period |
R |
0.48388378130013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850o2 23310t2 |
Quadratic twists by: -3 5 |