Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62868h |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-222651045552 = -1 · 24 · 3 · 136 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1577,32592] |
[a1,a2,a3,a4,a6] |
Generators |
[69:507:1] |
Generators of the group modulo torsion |
j |
-5619712/2883 |
j-invariant |
L |
7.5374253271805 |
L(r)(E,1)/r! |
Ω |
0.9266212577927 |
Real period |
R |
1.3557184706672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
372b1 |
Quadratic twists by: 13 |