Atkin-Lehner |
7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
61831c |
Isogeny class |
Conductor |
61831 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-145794263682221 = -1 · 7 · 1111 · 73 |
Discriminant |
Eigenvalues |
1 -3 -3 7+ 11- 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19201,-1172594] |
[a1,a2,a3,a4,a6] |
Generators |
[643370:9064648:2197] |
Generators of the group modulo torsion |
j |
-441928354113/82297061 |
j-invariant |
L |
3.4766570116857 |
L(r)(E,1)/r! |
Ω |
0.20075806807557 |
Real period |
R |
8.6588226445742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5621d1 |
Quadratic twists by: -11 |