Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150bs |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2261250000000 = -1 · 27 · 33 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63314180,193925553447] |
[a1,a2,a3,a4,a6] |
j |
-106454214048830427675/8576 |
j-invariant |
L |
4.4192530642005 |
L(r)(E,1)/r! |
Ω |
0.3156609331574 |
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 |
30150f2 30150p1 |
Quadratic twists by: -3 5 |