Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950bd |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1576512 |
Modular degree for the optimal curve |
Δ |
4.4251192461099E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11+ 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2522300,-1164228400] |
[a1,a2,a3,a4,a6] |
j |
492549478252825/122817609728 |
j-invariant |
L |
2.1957838420181 |
L(r)(E,1)/r! |
Ω |
0.12198799122323 |
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 |
26950bt1 26950bj1 |
Quadratic twists by: 5 -7 |