Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fj |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-28753920000 = -1 · 217 · 33 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-12063] |
[a1,a2,a3,a4,a6] |
Generators |
[37:80:1] |
Generators of the group modulo torsion |
j |
-781250/351 |
j-invariant |
L |
5.3162923748178 |
L(r)(E,1)/r! |
Ω |
0.43484177411651 |
Real period |
R |
1.0188173973396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400df1 15600w1 62400hc1 |
Quadratic twists by: -4 8 5 |