Atkin-Lehner |
7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26047d |
Isogeny class |
Conductor |
26047 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133920 |
Modular degree for the optimal curve |
Δ |
1077960792755203 = 73 · 617 |
Discriminant |
Eigenvalues |
1 1 0 7- 5 4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-104266,-12870683] |
[a1,a2,a3,a4,a6] |
j |
2433138625/20923 |
j-invariant |
L |
3.1898548819392 |
L(r)(E,1)/r! |
Ω |
0.26582124016164 |
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 |
427c1 |
Quadratic twists by: 61 |