Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446da |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
728 |
Product of Tamagawa factors cp |
deg |
10762752 |
Modular degree for the optimal curve |
Δ |
-3.6094816326452E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3130611,91431829089] |
[a1,a2,a3,a4,a6] |
Generators |
[17742:2361945:1] |
Generators of the group modulo torsion |
j |
-84086965737318727/89446319696904192 |
j-invariant |
L |
11.607861223844 |
L(r)(E,1)/r! |
Ω |
0.0636659103662 |
Real period |
R |
0.2504458701167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446bn1 |
Quadratic twists by: -7 |