Atkin-Lehner |
2- 3+ 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746n |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-3804052531747104 = -1 · 25 · 33 · 75 · 13 · 674 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -1 13- 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37403,4078443] |
[a1,a2,a3,a4,a6] |
Generators |
[911:26478:1] |
Generators of the group modulo torsion |
j |
-214322799873644307/140890834509152 |
j-invariant |
L |
10.555543936269 |
L(r)(E,1)/r! |
Ω |
0.40796656240253 |
Real period |
R |
1.2936775822005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109746c1 |
Quadratic twists by: -3 |