Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370ba |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1026432 |
Modular degree for the optimal curve |
Δ |
-17166600000000000 = -1 · 212 · 33 · 511 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52991,-4201804] |
[a1,a2,a3,a4,a6] |
j |
56943478875945239/59400000000000 |
j-invariant |
L |
1.2676220370505 |
L(r)(E,1)/r! |
Ω |
0.21127030871122 |
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 |
95370w1 |
Quadratic twists by: 17 |