Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200dd |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.0170482556928E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 0 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6639167,13856829537] |
[a1,a2,a3,a4,a6] |
Generators |
[64294264744505188419:5376301945745134583808:12346732720445383] |
Generators of the group modulo torsion |
j |
12642252501575/39728447488 |
j-invariant |
L |
7.8994805495188 |
L(r)(E,1)/r! |
Ω |
0.07501637922205 |
Real period |
R |
26.325852538604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bi2 14800s2 59200dr2 |
Quadratic twists by: -4 8 5 |