Atkin-Lehner |
2- 3- 5+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
100890u |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-93161826000 = -1 · 24 · 37 · 53 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,697,12687] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-180:1] |
Generators of the group modulo torsion |
j |
51437343959/127794000 |
j-invariant |
L |
10.753907676254 |
L(r)(E,1)/r! |
Ω |
0.74756003742057 |
Real period |
R |
0.44954197433725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33630d1 |
Quadratic twists by: -3 |