Atkin-Lehner |
3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725d |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34133466666796875 = -1 · 39 · 58 · 74 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 6 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60370,6797872] |
[a1,a2,a3,a4,a6] |
Generators |
[59:3220:1] |
Generators of the group modulo torsion |
j |
79119341757/110986225 |
j-invariant |
L |
4.2017997319921 |
L(r)(E,1)/r! |
Ω |
0.24881519955049 |
Real period |
R |
4.2218077302598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725b2 13545b2 |
Quadratic twists by: -3 5 |