Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cl |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-18589012596 = -1 · 22 · 33 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1912,32045] |
[a1,a2,a3,a4,a6] |
Generators |
[13:91:1] |
Generators of the group modulo torsion |
j |
-6570725617/158004 |
j-invariant |
L |
6.2527387930214 |
L(r)(E,1)/r! |
Ω |
1.2223815496627 |
Real period |
R |
0.63940129763371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778t1 |
Quadratic twists by: -7 |