Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618w |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-4.1328677923034E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5309554,-4810018300] |
[a1,a2,a3,a4,a6] |
Generators |
[614105:-37322171:125] |
Generators of the group modulo torsion |
j |
-337832666263933293368041/8434424065925385216 |
j-invariant |
L |
5.1641067677205 |
L(r)(E,1)/r! |
Ω |
0.049655177537024 |
Real period |
R |
2.1666533680116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618a1 |
Quadratic twists by: -7 |