Atkin-Lehner |
2+ 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458r |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6002402645874096 = 24 · 36 · 72 · 113 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1018521,-395370563] |
[a1,a2,a3,a4,a6] |
Generators |
[2402:103739:1] |
Generators of the group modulo torsion |
j |
160289984521621066897/8233748485424 |
j-invariant |
L |
5.8901760747565 |
L(r)(E,1)/r! |
Ω |
0.15028248796877 |
Real period |
R |
1.6330845089857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162j2 |
Quadratic twists by: -3 |