Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25300m |
Isogeny class |
Conductor |
25300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1083544352000 = -1 · 28 · 53 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2345,-24450] |
[a1,a2,a3,a4,a6] |
Generators |
[30:270:1] |
Generators of the group modulo torsion |
j |
44565858288/33860761 |
j-invariant |
L |
3.2924410012045 |
L(r)(E,1)/r! |
Ω |
0.48721229682389 |
Real period |
R |
3.3788566325888 |
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 |
101200cl2 25300n2 |
Quadratic twists by: -4 5 |