Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600b |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-28944000000 = -1 · 210 · 33 · 56 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,6750] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:36:1] |
Generators of the group modulo torsion |
j |
37044/67 |
j-invariant |
L |
5.8215525710585 |
L(r)(E,1)/r! |
Ω |
0.81037278255642 |
Real period |
R |
1.795948962162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998967152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120600bi1 4824b1 |
Quadratic twists by: -3 5 |