Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640n |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-1743270628864000 = -1 · 212 · 53 · 237 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -2 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66301,-6893301] |
[a1,a2,a3,a4,a6] |
Generators |
[4385:289892:1] |
Generators of the group modulo torsion |
j |
-53157376/2875 |
j-invariant |
L |
2.5176876240837 |
L(r)(E,1)/r! |
Ω |
0.14829468320852 |
Real period |
R |
4.2443996780534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640d1 3680j1 |
Quadratic twists by: -4 -23 |