Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450t |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1477440 |
Modular degree for the optimal curve |
Δ |
-2373296928325000000 = -1 · 26 · 58 · 377 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 4 2 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17825,-74132875] |
[a1,a2,a3,a4,a6] |
j |
-625/2368 |
j-invariant |
L |
2.8144876341319 |
L(r)(E,1)/r! |
Ω |
0.11727031851137 |
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 |
68450bb1 1850p1 |
Quadratic twists by: 5 37 |