Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26712i |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311296 |
Modular degree for the optimal curve |
Δ |
-166905060975765504 = -1 · 211 · 322 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 -4 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,137229,-1870738] |
[a1,a2,a3,a4,a6] |
Generators |
[217130:9251424:125] |
Generators of the group modulo torsion |
j |
191427323574814/111792334437 |
j-invariant |
L |
6.6242206269859 |
L(r)(E,1)/r! |
Ω |
0.19011822259526 |
Real period |
R |
8.7106597891566 |
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 |
53424b1 8904f1 |
Quadratic twists by: -4 -3 |