Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575b |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-323209669921875 = -1 · 33 · 59 · 112 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16950,-163469] |
[a1,a2,a3,a4,a6] |
Generators |
[35:687:1] |
Generators of the group modulo torsion |
j |
1276582920192/766126625 |
j-invariant |
L |
4.8876469407802 |
L(r)(E,1)/r! |
Ω |
0.31602185148307 |
Real period |
R |
0.96663547864706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575i2 18315e1 |
Quadratic twists by: -3 5 |