Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
124545bc |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-38548218744375 = -1 · 3 · 54 · 197 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6851,204491] |
[a1,a2,a3,a4,a6] |
j |
756058031/819375 |
j-invariant |
L |
0.85944694026487 |
L(r)(E,1)/r! |
Ω |
0.42972323856892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6555c1 |
Quadratic twists by: -19 |