Atkin-Lehner |
3- 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
116571s |
Isogeny class |
Conductor |
116571 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-972565837058711259 = -1 · 38 · 77 · 13 · 614 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 2 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1964034,-1061145340] |
[a1,a2,a3,a4,a6] |
j |
-7121683981554577408/8266673214891 |
j-invariant |
L |
2.0403367234117 |
L(r)(E,1)/r! |
Ω |
0.063760551560024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16653b1 |
Quadratic twists by: -7 |