Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70395a |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3100800 |
Modular degree for the optimal curve |
Δ |
-7.0089834772303E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15068508,-22523925717] |
[a1,a2,a3,a4,a6] |
Generators |
[8479367767847871013277079296302216746198:193478134926012422788720695448114457703169:1791786779541122317629174453380392413] |
Generators of the group modulo torsion |
j |
-1172605988048851/217206405 |
j-invariant |
L |
4.6040179296079 |
L(r)(E,1)/r! |
Ω |
0.038313088765376 |
Real period |
R |
60.084139362952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70395m1 |
Quadratic twists by: -19 |