Atkin-Lehner |
2- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bh |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-9850477656250000 = -1 · 24 · 510 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9805,4792197] |
[a1,a2,a3,a4,a6] |
Generators |
[15:2148:1] |
Generators of the group modulo torsion |
j |
-10673944425/1008688912 |
j-invariant |
L |
9.91461021882 |
L(r)(E,1)/r! |
Ω |
0.33562037416077 |
Real period |
R |
3.6926431495885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350y1 |
Quadratic twists by: 5 |