Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925bq |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
120628460925 = 33 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -5 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,3133] |
[a1,a2,a3,a4,a6] |
Generators |
[53:267:1] |
Generators of the group modulo torsion |
j |
1500625/837 |
j-invariant |
L |
7.1269527069215 |
L(r)(E,1)/r! |
Ω |
0.90653455655076 |
Real period |
R |
0.87352834307373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bd1 113925s1 |
Quadratic twists by: 5 -7 |