Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
63525bt |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-833765625 = -1 · 32 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,1373] |
[a1,a2,a3,a4,a6] |
j |
24167/441 |
j-invariant |
L |
4.7287178459843 |
L(r)(E,1)/r! |
Ω |
1.182179461991 |
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 |
2541c1 63525bk1 |
Quadratic twists by: 5 -11 |