Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550de |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-2370237187500 = -1 · 22 · 35 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,75898] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1506:1] [-43:246:1] |
Generators of the group modulo torsion |
j |
-5764801/63180 |
j-invariant |
L |
9.7976759938364 |
L(r)(E,1)/r! |
Ω |
0.69561452174452 |
Real period |
R |
0.1173743465556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bx1 95550bx1 |
Quadratic twists by: 5 -7 |