Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800s |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-5181680332800 = -1 · 212 · 33 · 52 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -4 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5213,179883] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:444:1] |
Generators of the group modulo torsion |
j |
-153027765760/50602347 |
j-invariant |
L |
5.5968187291546 |
L(r)(E,1)/r! |
Ω |
0.72296001554535 |
Real period |
R |
0.32256386977297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800bm1 88800bs1 |
Quadratic twists by: -4 5 |