Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200cz |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
661500000000 = 28 · 33 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50175,-4325750] |
[a1,a2,a3,a4,a6] |
Generators |
[36914:7092162:1] |
Generators of the group modulo torsion |
j |
129348709488/6125 |
j-invariant |
L |
5.7403022803831 |
L(r)(E,1)/r! |
Ω |
0.31899137699331 |
Real period |
R |
8.9975822144301 |
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 |
6300b2 100800js2 25200cy4 5040z2 |
Quadratic twists by: -4 8 -3 5 |