Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28400p |
Isogeny class |
Conductor |
28400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2326528000000 = 221 · 56 · 71 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4675,-98750] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:100:1] [-31:128:1] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
4.9433599520163 |
L(r)(E,1)/r! |
Ω |
0.58573138273942 |
Real period |
R |
1.0549545614441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3550g1 113600cf1 1136c1 |
Quadratic twists by: -4 8 5 |