Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bm |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2924649730800 = -1 · 24 · 310 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705,-82595] |
[a1,a2,a3,a4,a6] |
Generators |
[236:3591:1] |
Generators of the group modulo torsion |
j |
-132893440/10029663 |
j-invariant |
L |
7.2750288485516 |
L(r)(E,1)/r! |
Ω |
0.35417276499086 |
Real period |
R |
1.7117420385341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998896047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900v1 119700bw1 |
Quadratic twists by: -3 5 |