Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650dp |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-818972943750000 = -1 · 24 · 33 · 58 · 133 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23062,-278508] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-1886:1] |
Generators of the group modulo torsion |
j |
86814728729639/52414268400 |
j-invariant |
L |
10.261638951608 |
L(r)(E,1)/r! |
Ω |
0.29188948373235 |
Real period |
R |
0.48827645717847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330d1 |
Quadratic twists by: 5 |