Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3030k |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-19879830 = -1 · 2 · 39 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -4 1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7,-214] |
[a1,a2,a3,a4,a6] |
Generators |
[12:34:1] |
Generators of the group modulo torsion |
j |
46268279/19879830 |
j-invariant |
L |
3.1360924181298 |
L(r)(E,1)/r! |
Ω |
1.0138840339865 |
Real period |
R |
0.34368300658156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240ba1 96960e1 9090u1 15150v1 |
Quadratic twists by: -4 8 -3 5 |