Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744ca |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
80 |
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] |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
1.0099793318152 |
L(r)(E,1)/r! |
Ω |
0.050498966609646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744bi1 103488cs1 7392n1 |
Quadratic twists by: -4 8 -7 |