Atkin-Lehner |
3+ 5- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26445f |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
4857254384765625 = 38 · 510 · 41 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1431872,-660072669] |
[a1,a2,a3,a4,a6] |
Generators |
[29342:5007329:1] |
Generators of the group modulo torsion |
j |
324665974218714554904841/4857254384765625 |
j-invariant |
L |
6.5322369472584 |
L(r)(E,1)/r! |
Ω |
0.13801422653617 |
Real period |
R |
4.7330171035277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79335c2 |
Quadratic twists by: -3 |