Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260w |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11290752 |
Modular degree for the optimal curve |
Δ |
-9.1380152636719E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8219381,-46880730681] |
[a1,a2,a3,a4,a6] |
Generators |
[2022579482:27697265625:456533] |
Generators of the group modulo torsion |
j |
-4895590192056939053056/72847698211669921875 |
j-invariant |
L |
6.4125265534313 |
L(r)(E,1)/r! |
Ω |
0.037908342793145 |
Real period |
R |
7.048279790511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85260j1 |
Quadratic twists by: -7 |