Atkin-Lehner |
2+ 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960k |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-240321257618400000 = -1 · 28 · 310 · 55 · 72 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117655,17709525] |
[a1,a2,a3,a4,a6] |
Generators |
[140:6075:1] |
Generators of the group modulo torsion |
j |
703576329606677504/938754912571875 |
j-invariant |
L |
6.4755212475278 |
L(r)(E,1)/r! |
Ω |
0.2107450994035 |
Real period |
R |
1.5363396981914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480bc1 |
Quadratic twists by: -4 |