Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17760j |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
374625000000000 = 29 · 34 · 512 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37176,-2609460] |
[a1,a2,a3,a4,a6] |
j |
11098222096711112/731689453125 |
j-invariant |
L |
2.761960122645 |
L(r)(E,1)/r! |
Ω |
0.34524501533063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17760a3 35520ca3 53280bs3 88800bh3 |
Quadratic twists by: -4 8 -3 5 |