Atkin-Lehner |
2+ 5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75050a |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7838208 |
Modular degree for the optimal curve |
Δ |
6.9326111440034E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 2 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52247476,145300826098] |
[a1,a2,a3,a4,a6] |
Generators |
[638845:13244843:125] |
Generators of the group modulo torsion |
j |
1009484417725464100086577/443687113216217536 |
j-invariant |
L |
4.5268083401831 |
L(r)(E,1)/r! |
Ω |
0.13082012739625 |
Real period |
R |
8.6508254317204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3002b1 |
Quadratic twists by: 5 |