Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200hc |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-12182814720000 = -1 · 219 · 37 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3525,-147350] |
[a1,a2,a3,a4,a6] |
Generators |
[45:320:1] |
Generators of the group modulo torsion |
j |
2595575/6528 |
j-invariant |
L |
7.4934324236174 |
L(r)(E,1)/r! |
Ω |
0.36793793486716 |
Real period |
R |
0.84858428935518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650cn1 20400do1 61200em1 |
Quadratic twists by: -4 -3 5 |