Atkin-Lehner |
2- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646bf |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-15473042756993024 = -1 · 221 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3 3 7- 2 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10716,-5997281] |
[a1,a2,a3,a4,a6] |
j |
-1156633033473/131518693376 |
j-invariant |
L |
14.635405433064 |
L(r)(E,1)/r! |
Ω |
0.17423101707949 |
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 |
7378n1 |
Quadratic twists by: -7 |