Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550cm |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1146880 |
Modular degree for the optimal curve |
Δ |
140033533397530500 = 22 · 35 · 53 · 79 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-201905,-30004575] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:590:1] |
Generators of the group modulo torsion |
j |
180457909451/27761292 |
j-invariant |
L |
2.3136501251706 |
L(r)(E,1)/r! |
Ω |
0.22755216612688 |
Real period |
R |
2.5418897972359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550lh1 95550fu1 |
Quadratic twists by: 5 -7 |