Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
91140h |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
235872 |
Modular degree for the optimal curve |
Δ |
-6176177199360 = -1 · 28 · 33 · 5 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21380,-1202088] |
[a1,a2,a3,a4,a6] |
Generators |
[895169:4707430:4913] |
Generators of the group modulo torsion |
j |
-732390736/4185 |
j-invariant |
L |
5.1250348981572 |
L(r)(E,1)/r! |
Ω |
0.19734111557239 |
Real period |
R |
8.6568121329475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140m1 |
Quadratic twists by: -7 |