Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550js |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
7546061250000000 = 27 · 36 · 510 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9870638,-11937018108] |
[a1,a2,a3,a4,a6] |
Generators |
[-1814:934:1] |
Generators of the group modulo torsion |
j |
222261000810165625/15769728 |
j-invariant |
L |
13.621431560829 |
L(r)(E,1)/r! |
Ω |
0.085175217281332 |
Real period |
R |
1.903838987943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550ci1 95550fy1 |
Quadratic twists by: 5 -7 |