Atkin-Lehner |
2+ 3+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17094d |
Isogeny class |
Conductor |
17094 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-2909358321408 = -1 · 28 · 34 · 7 · 114 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23865,-1431387] |
[a1,a2,a3,a4,a6] |
j |
-1503268171317753625/2909358321408 |
j-invariant |
L |
0.76813305060116 |
L(r)(E,1)/r! |
Ω |
0.19203326265029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51282bp1 119658bf1 |
Quadratic twists by: -3 -7 |