Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800h |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-83750000 = -1 · 24 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92,-313] |
[a1,a2,a3,a4,a6] |
Generators |
[7:25:1] [47:325:1] |
Generators of the group modulo torsion |
j |
340736/335 |
j-invariant |
L |
6.6584791222074 |
L(r)(E,1)/r! |
Ω |
1.0459575793076 |
Real period |
R |
1.5914792468485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400a1 107200bv1 5360a1 |
Quadratic twists by: -4 8 5 |