Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200dr |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6509108836433920000 = -1 · 248 · 54 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,265567,110960863] |
[a1,a2,a3,a4,a6] |
Generators |
[112609:-5242880:343] |
Generators of the group modulo torsion |
j |
12642252501575/39728447488 |
j-invariant |
L |
4.7445806079774 |
L(r)(E,1)/r! |
Ω |
0.16774172336641 |
Real period |
R |
2.3570862955244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bo2 14800bj2 59200dd2 |
Quadratic twists by: -4 8 5 |