Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575m |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
461116790771484375 = 33 · 518 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-283355,-47919228] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:1971:1] |
Generators of the group modulo torsion |
j |
5963910624868923/1093017578125 |
j-invariant |
L |
4.1290646535384 |
L(r)(E,1)/r! |
Ω |
0.20954111046589 |
Real period |
R |
4.9263181054351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575e2 18315f2 |
Quadratic twists by: -3 5 |