Atkin-Lehner |
5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675s |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1300320 |
Modular degree for the optimal curve |
Δ |
-1287593073979296875 = -1 · 58 · 78 · 833 |
Discriminant |
Eigenvalues |
0 1 5- 7+ -3 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-886083,-325944881] |
[a1,a2,a3,a4,a6] |
Generators |
[3414798547277453:92175539333856271:2312011520567] |
Generators of the group modulo torsion |
j |
-34166702080/571787 |
j-invariant |
L |
5.5136699691947 |
L(r)(E,1)/r! |
Ω |
0.077726548647232 |
Real period |
R |
23.645588562963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101675a1 101675w1 |
Quadratic twists by: 5 -7 |