Atkin-Lehner |
2+ 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760f |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
160768 |
Modular degree for the optimal curve |
Δ |
-336528699840 = -1 · 26 · 33 · 5 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12477,-537156] |
[a1,a2,a3,a4,a6] |
j |
-124311268821312/194750405 |
j-invariant |
L |
4.0651228007567 |
L(r)(E,1)/r! |
Ω |
0.22584019119262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113760be1 113760y1 |
Quadratic twists by: -4 -3 |