Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720q |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
7892640000 = 28 · 35 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16476,808524] |
[a1,a2,a3,a4,a6] |
Generators |
[75:18:1] |
Generators of the group modulo torsion |
j |
1932259519689424/30830625 |
j-invariant |
L |
7.8348735550635 |
L(r)(E,1)/r! |
Ω |
1.2040721895207 |
Real period |
R |
1.301395983278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360a1 |
Quadratic twists by: -4 |