Atkin-Lehner |
7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
61831d |
Isogeny class |
Conductor |
61831 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
680141 = 7 · 113 · 73 |
Discriminant |
Eigenvalues |
1 -2 3 7- 11+ -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-102,383] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:22:1] |
Generators of the group modulo torsion |
j |
86938307/511 |
j-invariant |
L |
6.208620100479 |
L(r)(E,1)/r! |
Ω |
2.8830974207826 |
Real period |
R |
1.0767274209024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61831a1 |
Quadratic twists by: -11 |