Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109956g |
Isogeny class |
Conductor |
109956 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
2550468737431813968 = 24 · 36 · 77 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-836593,284602858] |
[a1,a2,a3,a4,a6] |
Generators |
[439:1323:1] |
Generators of the group modulo torsion |
j |
34400019417088000/1354914160677 |
j-invariant |
L |
5.1003254973655 |
L(r)(E,1)/r! |
Ω |
0.25467209467402 |
Real period |
R |
1.6689191052549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708i1 |
Quadratic twists by: -7 |