Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038q |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-169170235823305836 = -1 · 22 · 36 · 710 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-411021,-103234559] |
[a1,a2,a3,a4,a6] |
Generators |
[27756600:1065272737:15625] |
Generators of the group modulo torsion |
j |
-37291376353/821516 |
j-invariant |
L |
2.5917344933099 |
L(r)(E,1)/r! |
Ω |
0.094153681580646 |
Real period |
R |
13.763319977828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782i2 52038d2 |
Quadratic twists by: -3 -7 |