Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080be |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2421964800 = 214 · 34 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2385,43983] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:135:1] [21:60:1] |
Generators of the group modulo torsion |
j |
91611713104/147825 |
j-invariant |
L |
11.729377179953 |
L(r)(E,1)/r! |
Ω |
1.4500896202358 |
Real period |
R |
1.0110907126333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080bv1 8760c1 |
Quadratic twists by: -4 8 |