Atkin-Lehner |
2+ 3+ 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992h |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-162737147952 = -1 · 24 · 34 · 374 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1353,2718] |
[a1,a2,a3,a4,a6] |
Generators |
[5978:163503:8] |
Generators of the group modulo torsion |
j |
17107088156672/10171071747 |
j-invariant |
L |
6.6309418232995 |
L(r)(E,1)/r! |
Ω |
0.62352074300757 |
Real period |
R |
5.31733856857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59496h1 |
Quadratic twists by: -4 |