Atkin-Lehner |
3- 5- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75555h |
Isogeny class |
Conductor |
75555 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-223384477455 = -1 · 37 · 5 · 234 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1382,30476] |
[a1,a2,a3,a4,a6] |
Generators |
[19:94:1] |
Generators of the group modulo torsion |
j |
-400152624409/306425895 |
j-invariant |
L |
3.3907808709374 |
L(r)(E,1)/r! |
Ω |
0.91414819086761 |
Real period |
R |
3.7092245035995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004277 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25185d1 |
Quadratic twists by: -3 |