Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30900d |
Isogeny class |
Conductor |
30900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-2706267633120000 = -1 · 28 · 313 · 54 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53533,-5366663] |
[a1,a2,a3,a4,a6] |
j |
-106041677209600/16914172707 |
j-invariant |
L |
0.93341324369301 |
L(r)(E,1)/r! |
Ω |
0.1555688739484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600cq1 92700r1 30900g1 |
Quadratic twists by: -4 -3 5 |