Atkin-Lehner |
3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
107085h |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
7839157425 = 3 · 52 · 116 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11195,451232] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:541:1] [-38:926:1] |
Generators of the group modulo torsion |
j |
87587538121/4425 |
j-invariant |
L |
6.890790625775 |
L(r)(E,1)/r! |
Ω |
1.2410686603801 |
Real period |
R |
2.7761520555578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
885b1 |
Quadratic twists by: -11 |