Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26714i |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-156634932568448 = -1 · 27 · 197 · 372 |
Discriminant |
Eigenvalues |
2+ -1 -2 -1 0 5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6866,637876] |
[a1,a2,a3,a4,a6] |
Generators |
[359:6499:1] |
Generators of the group modulo torsion |
j |
-761048497/3329408 |
j-invariant |
L |
2.0810837501638 |
L(r)(E,1)/r! |
Ω |
0.50160753711985 |
Real period |
R |
0.51860358850292 |
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 |
1406f1 |
Quadratic twists by: -19 |