Atkin-Lehner |
2- 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650ct |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
339840 |
Modular degree for the optimal curve |
Δ |
-3131852343750 = -1 · 2 · 38 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7138,-250219] |
[a1,a2,a3,a4,a6] |
Generators |
[1198:10899:8] |
Generators of the group modulo torsion |
j |
-102966775105/8017542 |
j-invariant |
L |
6.9580766494672 |
L(r)(E,1)/r! |
Ω |
0.25854688404313 |
Real period |
R |
4.4853738883842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650bk1 |
Quadratic twists by: 5 |