Atkin-Lehner |
2+ 3+ 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950l |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-2885159250000 = -1 · 24 · 34 · 56 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88050,-10093500] |
[a1,a2,a3,a4,a6] |
Generators |
[480:7410:1] |
Generators of the group modulo torsion |
j |
-4831694578428193/184650192 |
j-invariant |
L |
3.9564927137044 |
L(r)(E,1)/r! |
Ω |
0.13857522132534 |
Real period |
R |
1.1896344925101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2958b1 |
Quadratic twists by: 5 |