Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
101332j |
Isogeny class |
Conductor |
101332 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-731840781056 = -1 · 28 · 76 · 11 · 472 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469485,123973753] |
[a1,a2,a3,a4,a6] |
Generators |
[523:4606:1] |
Generators of the group modulo torsion |
j |
-379980749676544/24299 |
j-invariant |
L |
5.1022484237143 |
L(r)(E,1)/r! |
Ω |
0.68136822164865 |
Real period |
R |
0.6240199582165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2068c1 |
Quadratic twists by: -7 |