Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568cs |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-5102383104 = -1 · 212 · 34 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3501,78651] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-12:1] [17:156:1] |
Generators of the group modulo torsion |
j |
-527514112/567 |
j-invariant |
L |
12.833723714839 |
L(r)(E,1)/r! |
Ω |
1.3575332046129 |
Real period |
R |
0.59085680530826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568ch1 113568bs1 |
Quadratic twists by: -4 13 |