Atkin-Lehner |
2+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040b |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
24688531313536000 = 210 · 53 · 292 · 475 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 3 3 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73096,818980] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:2726:1] |
Generators of the group modulo torsion |
j |
42180384337738276/24109893860875 |
j-invariant |
L |
7.3347313265789 |
L(r)(E,1)/r! |
Ω |
0.32389103563085 |
Real period |
R |
1.1322837839176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999707655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54520a1 |
Quadratic twists by: -4 |