Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101080n |
Isogeny class |
Conductor |
101080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
353780000000 = 28 · 57 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8588,-304988] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:18:1] |
Generators of the group modulo torsion |
j |
757971108864/3828125 |
j-invariant |
L |
5.4186827752312 |
L(r)(E,1)/r! |
Ω |
0.49608782931944 |
Real period |
R |
2.7307073661726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101080a1 |
Quadratic twists by: -19 |