Atkin-Lehner |
2- 5- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050cx |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-918020698112000 = -1 · 215 · 53 · 74 · 173 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12018,1538431] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:-1133:1] |
Generators of the group modulo torsion |
j |
-1535721826400117/7344165584896 |
j-invariant |
L |
7.0943012191522 |
L(r)(E,1)/r! |
Ω |
0.43185041813776 |
Real period |
R |
0.045632449289995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bb1 |
Quadratic twists by: 5 |