Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86490d |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
389975040 |
Modular degree for the optimal curve |
Δ |
-8.3937271449756E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97749031974,-11763023329856332] |
[a1,a2,a3,a4,a6] |
j |
-6152849107232836210227/50000000000000 |
j-invariant |
L |
2.9884035764996 |
L(r)(E,1)/r! |
Ω |
0.0042691481972394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490br1 86490h1 |
Quadratic twists by: -3 -31 |