Atkin-Lehner |
2+ 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650c |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-2650335845625000000 = -1 · 26 · 35 · 510 · 135 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-250400,-92088000] |
[a1,a2,a3,a4,a6] |
Generators |
[21280680:3624817960:729] |
Generators of the group modulo torsion |
j |
-111124384814596609/169621494120000 |
j-invariant |
L |
4.8750401681006 |
L(r)(E,1)/r! |
Ω |
0.10124191861041 |
Real period |
R |
12.038097013968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18330bd1 |
Quadratic twists by: 5 |