Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ch |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-803082496757400 = -1 · 23 · 315 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11803,1268021] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:754:1] |
Generators of the group modulo torsion |
j |
891449111/3936600 |
j-invariant |
L |
9.433210302471 |
L(r)(E,1)/r! |
Ω |
0.36002548132697 |
Real period |
R |
1.0917294737594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870l1 47610br1 |
Quadratic twists by: -3 -23 |