Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576cc |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
4132946944 = 210 · 74 · 412 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 1 2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,-87416] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:7:1] [77:287:1] |
Generators of the group modulo torsion |
j |
2323060992/1681 |
j-invariant |
L |
6.4757688507647 |
L(r)(E,1)/r! |
Ω |
0.61117559070432 |
Real period |
R |
1.7659324509557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999963308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576h1 32144b1 128576de1 |
Quadratic twists by: -4 8 -7 |