Atkin-Lehner |
2- 3- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bj |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-3310864564224 = -1 · 219 · 3 · 73 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -7 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4424,141684] |
[a1,a2,a3,a4,a6] |
Generators |
[30:192:1] |
Generators of the group modulo torsion |
j |
-2338337977417/808316544 |
j-invariant |
L |
9.1594711894768 |
L(r)(E,1)/r! |
Ω |
0.74941523033345 |
Real period |
R |
1.5277697209554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566e1 |
Quadratic twists by: -4 |