Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bp |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-813749648703909120 = -1 · 28 · 320 · 5 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113657,45867161] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:7756:1] |
Generators of the group modulo torsion |
j |
-222731256580724809/1116254662145280 |
j-invariant |
L |
9.7367780172985 |
L(r)(E,1)/r! |
Ω |
0.24499715607683 |
Real period |
R |
1.2419503879677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810e2 |
Quadratic twists by: -3 |