Atkin-Lehner |
2+ 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850bo |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-38966231250000 = -1 · 24 · 33 · 58 · 173 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7799,-140452] |
[a1,a2,a3,a4,a6] |
Generators |
[18:67:1] [27:286:1] |
Generators of the group modulo torsion |
j |
134326124375/99753552 |
j-invariant |
L |
10.011405873694 |
L(r)(E,1)/r! |
Ω |
0.36246674017488 |
Real period |
R |
4.6033675932895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001495 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119850bu1 |
Quadratic twists by: 5 |