Atkin-Lehner |
2+ 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
67450b |
Isogeny class |
Conductor |
67450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2634765625000 = -1 · 23 · 512 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,625,78125] |
[a1,a2,a3,a4,a6] |
j |
1723683599/168625000 |
j-invariant |
L |
1.2417798815572 |
L(r)(E,1)/r! |
Ω |
0.62088994720958 |
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 |
13490d1 |
Quadratic twists by: 5 |