Atkin-Lehner |
2- 3+ 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990p |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
481536 |
Modular degree for the optimal curve |
Δ |
15727067136000 = 222 · 33 · 53 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 6 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6632,84139] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:281:1] |
Generators of the group modulo torsion |
j |
1194626398007043/582483968000 |
j-invariant |
L |
10.845972671991 |
L(r)(E,1)/r! |
Ω |
0.6203558820995 |
Real period |
R |
0.52980208192966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990c1 |
Quadratic twists by: -3 |