Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
123662bj |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-57316971894375424 = -1 · 210 · 72 · 118 · 732 |
Discriminant |
Eigenvalues |
2- 2 3 7- 11- -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18939,11554313] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:3154:1] |
Generators of the group modulo torsion |
j |
-3504731857/267387904 |
j-invariant |
L |
20.384485215545 |
L(r)(E,1)/r! |
Ω |
0.29053637169844 |
Real period |
R |
1.7540390091674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662d1 |
Quadratic twists by: -11 |