Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654d |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-1287024018966 = -1 · 2 · 33 · 7 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -2 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8034,-280494] |
[a1,a2,a3,a4,a6] |
Generators |
[14205:57171:125] |
Generators of the group modulo torsion |
j |
-14348907/322 |
j-invariant |
L |
4.675623609091 |
L(r)(E,1)/r! |
Ω |
0.25180099881047 |
Real period |
R |
4.6421813565204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654bg1 2898a1 |
Quadratic twists by: -3 -23 |