Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446cd |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7488000 |
Modular degree for the optimal curve |
Δ |
-1.3401251582899E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12822321,18524061135] |
[a1,a2,a3,a4,a6] |
j |
-1981688591655059454721/113908758960116736 |
j-invariant |
L |
2.4818453281535 |
L(r)(E,1)/r! |
Ω |
0.12409226629167 |
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 |
8778x1 |
Quadratic twists by: -7 |