Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514t |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
912576 |
Modular degree for the optimal curve |
Δ |
-613472966372224 = -1 · 27 · 710 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 3 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1471063,687112815] |
[a1,a2,a3,a4,a6] |
Generators |
[699:-426:1] |
Generators of the group modulo torsion |
j |
-1246340914381521/2171776 |
j-invariant |
L |
8.9077577097116 |
L(r)(E,1)/r! |
Ω |
0.44002084861272 |
Real period |
R |
1.4459960467138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514h1 |
Quadratic twists by: -7 |