Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800cj |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-119640359880000000 = -1 · 29 · 310 · 57 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105008,21142488] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:222:1] [1034:24975:8] |
Generators of the group modulo torsion |
j |
-16006818542408/14955044985 |
j-invariant |
L |
11.981458595913 |
L(r)(E,1)/r! |
Ω |
0.3025078692652 |
Real period |
R |
0.16502957186136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800g1 17760g1 |
Quadratic twists by: -4 5 |