Atkin-Lehner |
2+ 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840l |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
1147708243200 = 28 · 3 · 52 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -2 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7945,270325] |
[a1,a2,a3,a4,a6] |
Generators |
[20:345:1] |
Generators of the group modulo torsion |
j |
216680641616896/4483235325 |
j-invariant |
L |
6.8402933472452 |
L(r)(E,1)/r! |
Ω |
0.86788694689469 |
Real period |
R |
1.3135914716016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46920w1 |
Quadratic twists by: -4 |