Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800p |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
803600000000 = 210 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16408,813312] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1050:1] |
Generators of the group modulo torsion |
j |
30534944836/50225 |
j-invariant |
L |
11.110231568597 |
L(r)(E,1)/r! |
Ω |
0.89411066608155 |
Real period |
R |
1.5532517365806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57400p1 22960a1 |
Quadratic twists by: -4 5 |