Atkin-Lehner |
2+ 3- 5- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26790j |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-433998000 = -1 · 24 · 35 · 53 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48,1006] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-33:1] |
Generators of the group modulo torsion |
j |
-11867954041/433998000 |
j-invariant |
L |
5.4264202757347 |
L(r)(E,1)/r! |
Ω |
1.3940364421602 |
Real period |
R |
0.12975319036677 |
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 |
80370bo1 |
Quadratic twists by: -3 |