Atkin-Lehner |
3- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339j |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
862848 |
Modular degree for the optimal curve |
Δ |
-1261851526089 = -1 · 33 · 78 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2091150,1163752741] |
[a1,a2,a3,a4,a6] |
Generators |
[22539:-11228:27] |
Generators of the group modulo torsion |
j |
-175426279266791833/218889 |
j-invariant |
L |
11.209015822225 |
L(r)(E,1)/r! |
Ω |
0.54768053342103 |
Real period |
R |
3.4110566133106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108339f1 |
Quadratic twists by: -7 |