Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446bk |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-85241949585408 = -1 · 221 · 34 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8674,538607] |
[a1,a2,a3,a4,a6] |
Generators |
[41:483:1] |
Generators of the group modulo torsion |
j |
-30060273994177/35502686208 |
j-invariant |
L |
5.6453956657048 |
L(r)(E,1)/r! |
Ω |
0.54908155563201 |
Real period |
R |
0.081599403667086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cw1 |
Quadratic twists by: -7 |