Atkin-Lehner |
2- 3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88578bm |
Isogeny class |
Conductor |
88578 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
-130210986680183808 = -1 · 210 · 37 · 76 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,102244,11935455] |
[a1,a2,a3,a4,a6] |
Generators |
[593:-17055:1] |
Generators of the group modulo torsion |
j |
162148770860533127/178615893937152 |
j-invariant |
L |
8.2026311457062 |
L(r)(E,1)/r! |
Ω |
0.21863062248263 |
Real period |
R |
0.15632590431809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29526g2 |
Quadratic twists by: -3 |