Atkin-Lehner |
2+ 3+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26790d |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
19983024848063520 = 25 · 318 · 5 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 1 7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-176972,27762864] |
[a1,a2,a3,a4,a6] |
j |
612972828039421623241/19983024848063520 |
j-invariant |
L |
2.2954605461542 |
L(r)(E,1)/r! |
Ω |
0.38257675769243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370bq1 |
Quadratic twists by: -3 |