Atkin-Lehner |
2- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24820a |
Isogeny class |
Conductor |
24820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
11161644642640 = 24 · 5 · 173 · 734 |
Discriminant |
Eigenvalues |
2- 0 5- -4 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6412,114969] |
[a1,a2,a3,a4,a6] |
j |
1822150608961536/697602790165 |
j-invariant |
L |
1.9644240345392 |
L(r)(E,1)/r! |
Ω |
0.65480801151312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99280t1 124100d1 |
Quadratic twists by: -4 5 |