Atkin-Lehner |
2- 3+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26076a |
Isogeny class |
Conductor |
26076 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-148684100352 = -1 · 28 · 3 · 413 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 5 6 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-613,-19247] |
[a1,a2,a3,a4,a6] |
j |
-99672064000/580797267 |
j-invariant |
L |
3.4378770427381 |
L(r)(E,1)/r! |
Ω |
0.42973463034223 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104304o1 78228h1 |
Quadratic twists by: -4 -3 |