Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550dh |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-122924292923250000 = -1 · 24 · 38 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 13- -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-95576,-20352202] |
[a1,a2,a3,a4,a6] |
Generators |
[837:-22469:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
5.0018878690439 |
L(r)(E,1)/r! |
Ω |
0.12956882498682 |
Real period |
R |
0.40212604007501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822r1 95550ba1 |
Quadratic twists by: 5 -7 |