Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680l |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-206248899521280 = -1 · 28 · 3 · 5 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -6 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21625,1412797] |
[a1,a2,a3,a4,a6] |
Generators |
[117:686:1] |
Generators of the group modulo torsion |
j |
-37135043584/6847995 |
j-invariant |
L |
5.5657127707511 |
L(r)(E,1)/r! |
Ω |
0.54107725421221 |
Real period |
R |
0.64289719343146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360dl1 9240m1 |
Quadratic twists by: -4 -7 |