Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956bj |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2331648 |
Modular degree for the optimal curve |
Δ |
-2144511775764466416 = -1 · 24 · 311 · 77 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52218,-70289451] |
[a1,a2,a3,a4,a6] |
Generators |
[2529:127449:1] |
Generators of the group modulo torsion |
j |
8365037151488/1139253083199 |
j-invariant |
L |
7.3613725838045 |
L(r)(E,1)/r! |
Ω |
0.12325975230146 |
Real period |
R |
1.3573280811133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999575242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708b1 |
Quadratic twists by: -7 |