Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618y |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
6.876286536762E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2217717,-155640320] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:24288:1] |
Generators of the group modulo torsion |
j |
29892307920173551/17040079060992 |
j-invariant |
L |
5.1903706667052 |
L(r)(E,1)/r! |
Ω |
0.13383085301599 |
Real period |
R |
6.4638441615843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618q1 |
Quadratic twists by: -7 |