Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150bt |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-35332031250 = -1 · 2 · 33 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,820,-303] |
[a1,a2,a3,a4,a6] |
j |
231525/134 |
j-invariant |
L |
1.3837887590321 |
L(r)(E,1)/r! |
Ω |
0.69189437951605 |
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 |
30150g1 30150m1 |
Quadratic twists by: -3 5 |