Atkin-Lehner |
2- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630ba |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3400320 |
Modular degree for the optimal curve |
Δ |
-710666677665312500 = -1 · 22 · 57 · 118 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1224825,523218125] |
[a1,a2,a3,a4,a6] |
j |
-947991360934321/3315312500 |
j-invariant |
L |
8.034712545607 |
L(r)(E,1)/r! |
Ω |
0.28695401797168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630g1 |
Quadratic twists by: -11 |