Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bz |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
1190265394500000000 = 28 · 35 · 59 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3444708,-2459094588] |
[a1,a2,a3,a4,a6] |
Generators |
[-1084:182:1] |
Generators of the group modulo torsion |
j |
9040887701683472/2380530789 |
j-invariant |
L |
4.2259092278641 |
L(r)(E,1)/r! |
Ω |
0.11082004012576 |
Real period |
R |
1.588878247652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200ch1 54600bf1 |
Quadratic twists by: -4 5 |