Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8976b |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-4.6473288645116E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1850553,1023572133] |
[a1,a2,a3,a4,a6] |
j |
-2737717077365028736000/181536283769982867 |
j-invariant |
L |
1.9842490889378 |
L(r)(E,1)/r! |
Ω |
0.19842490889378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4488j1 35904da1 26928r1 98736e1 |
Quadratic twists by: -4 8 -3 -11 |