Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dr |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-69404168679300 = -1 · 22 · 33 · 52 · 711 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61766,-5927092] |
[a1,a2,a3,a4,a6] |
Generators |
[333:3067:1] |
Generators of the group modulo torsion |
j |
-8860001331505/23597028 |
j-invariant |
L |
5.7079960146973 |
L(r)(E,1)/r! |
Ω |
0.15139577267001 |
Real period |
R |
3.1418732911059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ii1 13650h1 |
Quadratic twists by: 5 -7 |