Atkin-Lehner |
2+ 3+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88578d |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152320 |
Modular degree for the optimal curve |
Δ |
-5973394194432 = -1 · 217 · 33 · 74 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8352,-314368] |
[a1,a2,a3,a4,a6] |
j |
-2386495687822875/221236822016 |
j-invariant |
L |
1.9871207947945 |
L(r)(E,1)/r! |
Ω |
0.24839010033091 |
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 |
88578z1 |
Quadratic twists by: -3 |