Atkin-Lehner |
2- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24700q |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35520 |
Modular degree for the optimal curve |
Δ |
1906531250000 = 24 · 59 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7833,-255838] |
[a1,a2,a3,a4,a6] |
j |
1701036032/61009 |
j-invariant |
L |
3.0515515057736 |
L(r)(E,1)/r! |
Ω |
0.50859191762894 |
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 |
98800de1 24700o1 |
Quadratic twists by: -4 5 |