Atkin-Lehner |
3- 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
86025h |
Isogeny class |
Conductor |
86025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130944 |
Modular degree for the optimal curve |
Δ |
-8333671875 = -1 · 3 · 57 · 312 · 37 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 2 -7 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1408,-21281] |
[a1,a2,a3,a4,a6] |
Generators |
[1263270:3553577:27000] |
Generators of the group modulo torsion |
j |
-19770609664/533355 |
j-invariant |
L |
14.500571872142 |
L(r)(E,1)/r! |
Ω |
0.3890468805737 |
Real period |
R |
9.3180106234223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17205a1 |
Quadratic twists by: 5 |