Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200di |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-269772830000 = -1 · 24 · 54 · 175 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 2 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2200,-46925] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1564:1] |
Generators of the group modulo torsion |
j |
-117758361600/26977283 |
j-invariant |
L |
4.9300816041678 |
L(r)(E,1)/r! |
Ω |
0.34435739677493 |
Real period |
R |
2.8633516793288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999035388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32300t1 129200bs1 |
Quadratic twists by: -4 5 |