Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316a |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-1.0099269916321E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 1 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52114021,144821263489] |
[a1,a2,a3,a4,a6] |
Generators |
[7095:363562:1] |
Generators of the group modulo torsion |
j |
-2533109582445346816/1634392971 |
j-invariant |
L |
3.1979547745573 |
L(r)(E,1)/r! |
Ω |
0.18924581806166 |
Real period |
R |
0.70410069982313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000200434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548e1 |
Quadratic twists by: 17 |