Atkin-Lehner |
2- 3+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194s |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
-135804927172307328 = -1 · 27 · 34 · 134 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -2 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142710,27234291] |
[a1,a2,a3,a4,a6] |
Generators |
[199:-2701:1] [-2258:54867:8] |
Generators of the group modulo torsion |
j |
-321430527302329081441/135804927172307328 |
j-invariant |
L |
7.3298481442121 |
L(r)(E,1)/r! |
Ω |
0.30728134618519 |
Real period |
R |
0.56794919729565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582f2 |
Quadratic twists by: -3 |