Atkin-Lehner |
3+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545m |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-48692486835 = -1 · 32 · 5 · 196 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -4 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-481,-11208] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-542:1] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
1.7842294997545 |
L(r)(E,1)/r! |
Ω |
0.46532984066248 |
Real period |
R |
0.95858325770508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995598994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345b1 |
Quadratic twists by: -19 |