Atkin-Lehner |
2- 3+ 5+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bg |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.830937874375E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1846208,-1724780573] |
[a1,a2,a3,a4,a6] |
Generators |
[2069245330202823003:-199791760632054241337:219158067222171] |
Generators of the group modulo torsion |
j |
-35356892222849390523/44865812500000000 |
j-invariant |
L |
12.554016798955 |
L(r)(E,1)/r! |
Ω |
0.061810445315915 |
Real period |
R |
25.388137740205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122130g1 |
Quadratic twists by: -3 |