Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400eh |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2190240000000000 = -1 · 214 · 34 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32367,-226863] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-2600:1] [33:936:1] |
Generators of the group modulo torsion |
j |
14647977776/8555625 |
j-invariant |
L |
7.8894346458892 |
L(r)(E,1)/r! |
Ω |
0.27277853006497 |
Real period |
R |
1.8076557024135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cj2 15600ck2 12480de2 |
Quadratic twists by: -4 8 5 |