Atkin-Lehner |
3+ 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325j |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
368392483786078125 = 32 · 56 · 1110 · 101 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 11- 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1359187508,-19286657732707] |
[a1,a2,a3,a4,a6] |
Generators |
[-8848049448468821752:-2150241388858313:415695420563968] |
Generators of the group modulo torsion |
j |
17772225273611950625003524096/23577118962309 |
j-invariant |
L |
12.819134092597 |
L(r)(E,1)/r! |
Ω |
0.0248644988908 |
Real period |
R |
25.777986013103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333g2 |
Quadratic twists by: 5 |