Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600y |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
151373934000000000 = 210 · 36 · 59 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307875,-63031250] |
[a1,a2,a3,a4,a6] |
j |
2213550644/103823 |
j-invariant |
L |
2.4391999126639 |
L(r)(E,1)/r! |
Ω |
0.20326665405757 |
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 |
9400m1 84600by1 |
Quadratic twists by: -3 5 |