Atkin-Lehner |
2- 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bs |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-170169861450 = -1 · 2 · 3 · 52 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -3 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1208,25091] |
[a1,a2,a3,a4,a6] |
Generators |
[77628:397579:1728] |
Generators of the group modulo torsion |
j |
-7798426365865/6806794458 |
j-invariant |
L |
8.8838644803198 |
L(r)(E,1)/r! |
Ω |
0.93104298420789 |
Real period |
R |
4.7709206698089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850bm1 |
Quadratic twists by: 5 |