Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600q |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-122107500000000 = -1 · 28 · 36 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 0 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,-587500] |
[a1,a2,a3,a4,a6] |
Generators |
[134:902:1] |
Generators of the group modulo torsion |
j |
-25600/67 |
j-invariant |
L |
8.416320396583 |
L(r)(E,1)/r! |
Ω |
0.23847839198081 |
Real period |
R |
4.4114690570408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400n1 120600cf1 |
Quadratic twists by: -3 5 |