Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5700f |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1009737900000000 = 28 · 312 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32908,1726312] |
[a1,a2,a3,a4,a6] |
Generators |
[297:4250:1] |
Generators of the group modulo torsion |
j |
985329269584/252434475 |
j-invariant |
L |
3.1425994571849 |
L(r)(E,1)/r! |
Ω |
0.46198084092276 |
Real period |
R |
3.4012227118639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800cv2 91200cz2 17100z2 1140c2 |
Quadratic twists by: -4 8 -3 5 |