Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
34860h |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2448000 |
Modular degree for the optimal curve |
Δ |
54273479531250000 = 24 · 3 · 510 · 75 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115782381,479487041700] |
[a1,a2,a3,a4,a6] |
j |
10728306247000556404009467904/3392092470703125 |
j-invariant |
L |
3.1624832443403 |
L(r)(E,1)/r! |
Ω |
0.21083221628804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104580z1 |
Quadratic twists by: -3 |