Atkin-Lehner |
2- 3+ 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300f |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
4429752747791250000 = 24 · 3 · 57 · 113 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-414633,17646762] |
[a1,a2,a3,a4,a6] |
Generators |
[653:4991:1] |
Generators of the group modulo torsion |
j |
31533802463543296/17719010991165 |
j-invariant |
L |
6.6200480932068 |
L(r)(E,1)/r! |
Ω |
0.21177617225447 |
Real period |
R |
3.473293962244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460n3 |
Quadratic twists by: 5 |