Atkin-Lehner |
2- 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13244f |
Isogeny class |
Conductor |
13244 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-86869620992 = -1 · 28 · 72 · 115 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2828,-58664] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1694:1] |
Generators of the group modulo torsion |
j |
-9774071746000/339334457 |
j-invariant |
L |
4.1293781755951 |
L(r)(E,1)/r! |
Ω |
0.32666416477116 |
Real period |
R |
0.42136834716146 |
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 |
52976m1 119196k1 92708i1 |
Quadratic twists by: -4 -3 -7 |