Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800z |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-686080000000 = -1 · 217 · 57 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 3 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5075,-144750] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2950:1] |
Generators of the group modulo torsion |
j |
-225866529/10720 |
j-invariant |
L |
3.6601224735011 |
L(r)(E,1)/r! |
Ω |
0.28203913222575 |
Real period |
R |
3.2443392204272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3350b1 107200bu1 5360h1 |
Quadratic twists by: -4 8 5 |