Atkin-Lehner |
2- 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850cg |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5760000 |
Modular degree for the optimal curve |
Δ |
-4970419200000000 = -1 · 216 · 35 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20212638,-34985426469] |
[a1,a2,a3,a4,a6] |
Generators |
[32385:5752407:1] |
Generators of the group modulo torsion |
j |
-2337936293466990960385/12724273152 |
j-invariant |
L |
10.658473634959 |
L(r)(E,1)/r! |
Ω |
0.035601132156624 |
Real period |
R |
6.237204293471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850t1 |
Quadratic twists by: 5 |