Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618v |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5117952 |
Modular degree for the optimal curve |
Δ |
-6.1447582808823E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3559533,4571956120] |
[a1,a2,a3,a4,a6] |
Generators |
[13991:1634202:1] |
Generators of the group modulo torsion |
j |
-17657215088967769/21753262640304 |
j-invariant |
L |
6.8690192881479 |
L(r)(E,1)/r! |
Ω |
0.12139865613472 |
Real period |
R |
7.0727917291455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618b1 |
Quadratic twists by: -7 |