Atkin-Lehner |
2+ 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954a |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-275500679136 = -1 · 25 · 3 · 196 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1282,30292] |
[a1,a2,a3,a4,a6] |
j |
-233301213501481/275500679136 |
j-invariant |
L |
1.7709778719235 |
L(r)(E,1)/r! |
Ω |
0.88548893596174 |
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 |
55632bb1 20862t1 |
Quadratic twists by: -4 -3 |