Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42959h |
Isogeny class |
Conductor |
42959 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1787772975767387 = -1 · 76 · 17 · 197 |
Discriminant |
Eigenvalues |
0 -1 0 7- 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13237,1943607] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1263:1] |
Generators of the group modulo torsion |
j |
5451776000/38000627 |
j-invariant |
L |
2.928937165694 |
L(r)(E,1)/r! |
Ω |
0.34209770733814 |
Real period |
R |
0.71347481116031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261d1 |
Quadratic twists by: -19 |