Atkin-Lehner |
7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61831a |
Isogeny class |
Conductor |
61831 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124608 |
Modular degree for the optimal curve |
Δ |
1204911270101 = 7 · 119 · 73 |
Discriminant |
Eigenvalues |
-1 -2 3 7+ 11+ 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12284,-522389] |
[a1,a2,a3,a4,a6] |
Generators |
[-8430:6877:125] |
Generators of the group modulo torsion |
j |
86938307/511 |
j-invariant |
L |
2.9612589377574 |
L(r)(E,1)/r! |
Ω |
0.45364711325648 |
Real period |
R |
3.2638353156209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61831d1 |
Quadratic twists by: -11 |