Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gk |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
33845178206250000 = 24 · 37 · 58 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-413625,102006875] |
[a1,a2,a3,a4,a6] |
Generators |
[50:9025:1] |
Generators of the group modulo torsion |
j |
1717657250560/7428297 |
j-invariant |
L |
6.4921968903863 |
L(r)(E,1)/r! |
Ω |
0.37006312440979 |
Real period |
R |
0.58478283497716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100bc1 22800cq1 68400ff1 |
Quadratic twists by: -4 -3 5 |