Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
74529bo |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-3.1196082429462E+20 |
Discriminant |
Eigenvalues |
2 3- -1 7- -2 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2260713,-1560080363] |
[a1,a2,a3,a4,a6] |
j |
-4096 |
j-invariant |
L |
1.9449106971437 |
L(r)(E,1)/r! |
Ω |
0.060778461009995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8281l1 74529bn1 74529bq1 |
Quadratic twists by: -3 -7 13 |