Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080cc |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
17222860800 = 220 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2561,48639] |
[a1,a2,a3,a4,a6] |
Generators |
[34:45:1] |
Generators of the group modulo torsion |
j |
7088952961/65700 |
j-invariant |
L |
9.0669767565713 |
L(r)(E,1)/r! |
Ω |
1.2377420204436 |
Real period |
R |
1.8313543142133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080e1 17520o1 |
Quadratic twists by: -4 8 |