Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
60300h |
Isogeny class |
Conductor |
60300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-395628300000000 = -1 · 28 · 310 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,-965500] |
[a1,a2,a3,a4,a6] |
j |
-4194304/135675 |
j-invariant |
L |
2.7868751051659 |
L(r)(E,1)/r! |
Ω |
0.23223959234766 |
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 |
20100a1 12060b1 |
Quadratic twists by: -3 5 |