Atkin-Lehner |
2- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642t |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2298240 |
Modular degree for the optimal curve |
Δ |
3406770582883139584 = 227 · 79 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 1 1 7- 0 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14277425,-20765570071] |
[a1,a2,a3,a4,a6] |
j |
7976107824377706343/84422950912 |
j-invariant |
L |
4.1940259970454 |
L(r)(E,1)/r! |
Ω |
0.077667148117098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642ba1 |
Quadratic twists by: -7 |