Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440dk |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2120240414822400 = 212 · 316 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1028320,401017268] |
[a1,a2,a3,a4,a6] |
Generators |
[1316:-36450:1] [-934:23400:1] |
Generators of the group modulo torsion |
j |
29359525623751795681/517636820025 |
j-invariant |
L |
13.691701607256 |
L(r)(E,1)/r! |
Ω |
0.42600406215472 |
Real period |
R |
4.0174797683702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997483 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7215e3 |
Quadratic twists by: -4 |