Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135u |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
861520685445 = 36 · 5 · 78 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -6 5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6631,200785] |
[a1,a2,a3,a4,a6] |
j |
5594251264/149445 |
j-invariant |
L |
1.7728193358182 |
L(r)(E,1)/r! |
Ω |
0.88640966791154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90405bi1 30135q1 |
Quadratic twists by: -3 -7 |