Atkin-Lehner |
2- 3+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
60606ba |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
353023428067128 = 23 · 33 · 72 · 13 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23825,1095113] |
[a1,a2,a3,a4,a6] |
Generators |
[-172068:2802413:1728] |
Generators of the group modulo torsion |
j |
55391303654989875/13074941780264 |
j-invariant |
L |
10.491743468653 |
L(r)(E,1)/r! |
Ω |
0.50641855332246 |
Real period |
R |
10.358766873535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60606i4 |
Quadratic twists by: -3 |