Atkin-Lehner |
2+ 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350z |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-127020882580200 = -1 · 23 · 312 · 52 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4032,552136] |
[a1,a2,a3,a4,a6] |
j |
-397812414505/6969595752 |
j-invariant |
L |
1.9780063649946 |
L(r)(E,1)/r! |
Ω |
0.49450157233532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450bv1 91350fl1 |
Quadratic twists by: -3 5 |