Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112659f |
Isogeny class |
Conductor |
112659 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1907712 |
Modular degree for the optimal curve |
Δ |
8732575081620890901 = 33 · 172 · 479 |
Discriminant |
Eigenvalues |
0 3- 3 -1 -3 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-524269,-33847055] |
[a1,a2,a3,a4,a6] |
Generators |
[-65695:2647315:343] |
Generators of the group modulo torsion |
j |
1478427148288/810130869 |
j-invariant |
L |
7.488454777953 |
L(r)(E,1)/r! |
Ω |
0.18958595755117 |
Real period |
R |
1.64579146562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999404609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397c1 |
Quadratic twists by: -47 |