Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550cc |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
465696 |
Modular degree for the optimal curve |
Δ |
281034048750 = 2 · 3 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-87000,-9913350] |
[a1,a2,a3,a4,a6] |
Generators |
[-4605:2425:27] |
Generators of the group modulo torsion |
j |
20212728025/78 |
j-invariant |
L |
3.2743872442222 |
L(r)(E,1)/r! |
Ω |
0.27798361099852 |
Real period |
R |
1.3087850873944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550iu1 95550fd1 |
Quadratic twists by: 5 -7 |