Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578u |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
4400401977216 = 27 · 36 · 72 · 19 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7215,-211411] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:157:1] |
Generators of the group modulo torsion |
j |
56982178438641/6036216704 |
j-invariant |
L |
4.6353356156185 |
L(r)(E,1)/r! |
Ω |
0.52156003239088 |
Real period |
R |
0.74062033814406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842l1 |
Quadratic twists by: -3 |