Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bb |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
295488 |
Modular degree for the optimal curve |
Δ |
-151891003412800 = -1 · 26 · 52 · 377 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 4 -2 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-713,-593063] |
[a1,a2,a3,a4,a6] |
j |
-625/2368 |
j-invariant |
L |
3.1466928530069 |
L(r)(E,1)/r! |
Ω |
0.26222440393448 |
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 |
68450t1 1850b1 |
Quadratic twists by: 5 37 |