Atkin-Lehner |
2- 5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
26860a |
Isogeny class |
Conductor |
26860 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
11880 |
Modular degree for the optimal curve |
Δ |
-670533040 = -1 · 24 · 5 · 17 · 793 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 6 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,-1340] |
[a1,a2,a3,a4,a6] |
Generators |
[5235:378805:1] |
Generators of the group modulo torsion |
j |
-7192182784/41908315 |
j-invariant |
L |
3.4979781447602 |
L(r)(E,1)/r! |
Ω |
0.67404207346625 |
Real period |
R |
5.189554602685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107440m1 |
Quadratic twists by: -4 |