Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bl |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6750240 |
Modular degree for the optimal curve |
Δ |
7229060454 = 2 · 3 · 78 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-688186675,6948476304923] |
[a1,a2,a3,a4,a6] |
Generators |
[83773441992440192061496:48759638154657373716113125:23024004683178774016] |
Generators of the group modulo torsion |
j |
6252564350146719590876401/1254 |
j-invariant |
L |
9.1901153878596 |
L(r)(E,1)/r! |
Ω |
0.23438171299104 |
Real period |
R |
39.210035930623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446de1 |
Quadratic twists by: -7 |