Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744bi |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.8833372018426E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1176898,10642995824] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:104958:1] |
Generators of the group modulo torsion |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
7.2773843009988 |
L(r)(E,1)/r! |
Ω |
0.091941827642666 |
Real period |
R |
3.2980021569029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744ca1 103488bn1 7392a1 |
Quadratic twists by: -4 8 -7 |