Atkin-Lehner |
2- 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450ca |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-780330000 = -1 · 24 · 3 · 54 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38,1331] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:259:8] [-1:37:1] |
Generators of the group modulo torsion |
j |
-9725425/1248528 |
j-invariant |
L |
13.578171321487 |
L(r)(E,1)/r! |
Ω |
1.3067080270041 |
Real period |
R |
1.2988910913725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450v1 |
Quadratic twists by: 5 |