Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dj |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-295765764940800 = -1 · 210 · 311 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11440,-955900] |
[a1,a2,a3,a4,a6] |
Generators |
[440:8910:1] |
Generators of the group modulo torsion |
j |
-3300226225156/5894566425 |
j-invariant |
L |
9.9471944464329 |
L(r)(E,1)/r! |
Ω |
0.2177827507671 |
Real period |
R |
0.34602159027292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680bw1 129360e1 |
Quadratic twists by: -4 -7 |