Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529r |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
831168 |
Modular degree for the optimal curve |
Δ |
-573537368380925403 = -1 · 315 · 72 · 138 |
Discriminant |
Eigenvalues |
0 3- 0 7- 6 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-461370,-126003992] |
[a1,a2,a3,a4,a6] |
Generators |
[11784223336:426649041688:7189057] |
Generators of the group modulo torsion |
j |
-372736000/19683 |
j-invariant |
L |
5.3227408833458 |
L(r)(E,1)/r! |
Ω |
0.091311402359328 |
Real period |
R |
14.573045495457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24843b1 74529k1 74529s1 |
Quadratic twists by: -3 -7 13 |